Subgroup structure of finite groups, Theorems like Sylow and Baer--Suzuki, conjugacy problems in finite groups, finite simple groups, groups of Lie type
Main publications:
W. Guo, D. O. Revin, E. P. Vdovin, “The reduction theorem for relatively maximal subgroups”, Bulletin of Mathematical Sciences, 12:1 (2022), 2150001 , 47 pp., arXiv: 1808.10107
Wen Bin Guo, D. O. Revin, “When is the search of relatively maximal subgroups reduced to quotient groups?”, Izv. Math., 86:6 (2022), 1102–1122
N. Yang, D. O. Revin, E. P. Vdovin, “Baer-Suzuki theorem for the $\pi$-radical”, Isr. J. Math., 245:1 (2021), 173–207 , arXiv: 1911.11939
D. O. Revin, S. V. Skresanov, A. V. Vasilev, “The Wielandt–Hartley theorem for submaximal $\mathfrak{X}$-subgroups”, Monatshefte für Mathematik, 193:1 (2020), 143–155 , arXiv: arXiv:1910.09785
W. Guo, D. O. Revin, “Classification and properties of the $\pi$-submaximal subgroups in minimal nonsolvable groups”, Bulletin of Mathematical Sciences, 8:2 (2018), 325–351 , arXiv: arXiv:1706.02016
A.S. Kondratev, N.V. Maslova and D.O.Revin, “On Pronormal Subgroups in Finite Simple Groups”, Doklady Mathematics, 98:2 (2018), 405–408
A. Buturlakin, D. Revin, A. Vasilev, “Groups with bounded centralizer chains and the Borovik - Khukhro conjecture”, Journal of Group Theory, 21:6 (2018), 1095–1110 , arXiv: arXiv:1708.03057
W. Guo, D. O. Revin, E. P. Vdovin, “Confirmation for Wielandt's conjecture”, Journal of Algebra, 434 (2015), 193–206 , arXiv: arXiv:1407.2007v1
D. O. Revin, E. P. Vdovin, “Frattini argument for Hall subgroups”, Journal of Algebra, 414:S (2014), 95–104 , arXiv: https://arxiv.org/abs/1401.7719
E. P. Vdovin, D. O. Revin, “Theorems of Sylow type”, Russian Math. Surveys, 66:5 (2011), 829–870
D. O. Revin, E. P. Vdovin, “On the number of classes of conjugate Hall subgroups in finite simple groups”, J. Algebra, 324:12 (2010), 3614–3652 , arXiv: 0912.1922
D. O. Revin, “The $D_\pi$-property in finite simple groups”, Algebra and Logic, 47:3 (2008), 210–227
D. O. Revin, “The $D_\pi$-Property in a Class of Finite Groups”, Algebra and Logic, 41:3 (2002), 187–206
D. O. Revin and A. V. Zavarnitsine, “On generations by conjugate elements in almost simple groups with socle ${}^2F_4(q^2)'$”, J. Group Th., 27:1 (2024), 119–140 , arXiv: 2212.13785
2.
D. O. Revin, A. V. Zavarnitsine, “Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya «Matematika», 49 (2024), 135–142 , arXiv: 2402.03673
3.
W. Guo, N. V. Maslova, D. O. Revin, “Nonpronormal Subgroups of Odd Index in Finite Simple Linear and Unitary Groups”, Proc. Steklov Inst., 325:S1 (2024), S114-S122
4.
X. Zhang, L. Su, D. O. Revin, “An example of a relatively maximal nonpronormal subgroup of odd order in a finite simple group”, Siberian Math. J., 65:3 (2024), 644–647
5.
Gülin Ercan, İsmail Ş. Güloğlu, M. Yasir Kızmaz, Danila O. Revin, “Some special coprime actions and their consequences”, J. Pure Appl. Algebra, 228:12 (2024), 107764 , 12 pp., arXiv: 2105.10807
6.
D. O. Revin, “Vilandovy $\mathfrak{X}$-podgruppy”, Algebra i logika, 63:2 (2024) (to appear)
7.
D. O. Revin, V. D. Shepelev, “The Strong $\pi$-Sylow Theorem for the Groups $\operatorname{PSL}_2(q)$”, Siberian Math. J., 65:5 (2024), 1187–1194
8.
N. V. Maslova, D. O. Revin, “On the pronormality of subgroups of odd index in some direct products of finite groups”, J. Algebra Appl., 22:4 (2023), 2150001 , 20 pp., arXiv: 2003.09479
N. Yang, Zh. Wu, D. O. Revin, E. P. Vdovin, “On the sharp Baer–Suzuki theorem for the $\pi$-radical of a finite group”, Sb. Math., 214:1 (2023), 108–147
10.
W. Guo, D. O. Revin, A. V. Vasil'ev, “On embedding theorems for $\mathfrak{X}$-subgroups”, Archiv Math. (Basel), 121:1 (2023), 11-21 , arXiv: 2206.10267
11.
Zh. Wang, W. Guo, and D. O. Revin, “Toward a Sharp Baer–Suzuki Theorem for the $\pi$-Radical: Exeptional Groups of Small Rank”, Algebra and Logic, 62:1 (2023), 1-21
12.
B. Li, D. O. Revin, “Examples of nonpronormal relatively maximal subgroups in finite simple groups”, Proceedings of the Steklov Institute of Mathematics, 323:Suppl. 1 (2023), S155–S159
13.
A.-M. Lyu, Ch. Van, D. O. Revin, “K tochnoi teoreme Bera-Suzuki dlya $\pi$-radikala: unipotentnye elementy grupp lieva tipa”, Algebra i logika, 62:6 (2023) (to appear)
14.
W. Guo, D. O. Revin, E. P. Vdovin, “The reduction theorem for relatively maximal subgroups”, Bulletin of Mathematical Sciences, 12:1 (2022), 2150001 , 47 pp., arXiv: 1808.10107
N. Yang, Zh. Wu, D. O. Revin, “On the Sharp Baer–Suzuki Theorem for the $\pi$-Radical: Sporadic Groups”, Siberian Mathematical Journal, 63:2 (2022), 387–394
16.
A. V. Zavarnitsine, D. O. Revin, “On $\pi$-Submaximal Subgroups of Minimal Nonsolvable Groups”, Sib. Math. J., 63:5 (2022), 894–902
17.
Wen Bin Guo, D. O. Revin, “When is the search of relatively maximal subgroups reduced to quotient groups?”, Izv. Math., 86:6 (2022), 1102–1122
18.
J. Guo, W. Guo, D. O. Revin, V. N. Tyutyanov, “On the Baer–Suzuki width of some radical classes”, Proc. Steklov Inst. Math., 317:S1 (2022), S90–S97
19.
A. S. Vasil'ev, D. O. Revin, “Relatively maximal subgroups of odd index in symmetric groups”, Algebra and Logic, 61:2 (2022), 104–124
20.
D. O. Revin, “Submaximal soluble subgroups of odd index in alternating groups”, Siberian Mathematical Journal, 62:2 (2021), 313–323
21.
Revin, Danila O. and Zavarnitsine, Andrei V., “Automorphisms of nonsplit extensions of $2$-groups by $PSL_2(q)$”, Journal of Group Theory, 24:6 (2021), 1245–1261 , arXiv: 2104.09201
A. V. Zavarnitsin, D. O. Revin, Predstavleniya i kharaktery konechnykh grupp. Konspekt lektsii, 2021 , 181 pp., Konspekt lektsii, arXiv: 2110.12382
24.
Danila O. Revin, Andrei V. Zavarnitsine, “On the behavior of $\pi$-submaximal subgroups under homomorphisms”, Communications in Algebra, 48:2 (2020), 702–707 , arXiv: 1907.04994
E. P. Vdovin, N. Ch. Manzaeva, D. O. Revin, “On the heritability of the Sylow $\pi$-theorem by subgroups”, Sb. Math., 211:3 (2020), 309–335 , arXiv: 1808.03536
26.
D. O. Revin, S. V. Skresanov, A. V. Vasilev, “The Wielandt–Hartley theorem for submaximal $\mathfrak{X}$-subgroups”, Monatshefte für Mathematik, 193:1 (2020), 143–155 , arXiv: arXiv:1910.09785
A. A. Buturlakin, S. S. Presnyakov, D. O. Revin, S. A. Savin, “Area of a triangle and angle bisectors”, Sibirskie elektronnye matematicheskie izvestiya, 17 (2020), 732–737 "http://semr.math.nsc.ru/v17/p732-737.pdf", arXiv: 2005.13431
28.
K. Yu. Korotitskii, D. O. Revin, “Maximal Solvable Subgroups of Odd index in Symmetric Groups”, Algebra and Logic, 59:2 (2020), 114–128
29.
A. S. Kondrat’ev, N. V. Maslova, D. O. Revin, “Finite simple exceptional groups of Lie type in which all subgroups of odd index are pronormal”, J. Group Theory, 23:6 (2020), 999–1016 , arXiv: 1910.02524
D. O. Revin, A. V. Zavarnitsine, “The behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels”, Sibirskie elektronnye matematicheskie izvestiya, 17 (2020), 1155–1164http://semr.math.nsc.ru/v17/p1155-1164.pdf, arXiv: 2006.09752
Anatoly S. Kondrat’ev, Natalia Maslova, Danila Revin, “On the pronormality of subgroups of odd index in finite simple groups”, Groups St Andrews 2017 in Birmingham, ISBN: 9781108728744 (Birmingham, 5th-13th August 2017), London Mathematical Society Lecture Note Series, 455, eds. C. M. Campbell, M. R. Quick, C. W. Parker, E. F. Robertson, C. M. Roney-Dougal, Cambridge University Press, Cambridge, 2019, 406–418
Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, B. S. Baizhanov, B. Sh. Kulpeshov, P. E. Alaev, A. V. Vasilev, E. V. Vasilev, E. P. Vdovin, V. V. Verbovskii, A. A. Vikentev, D. Yu. Vlasov, M. A. Grechkoseeva, V. N. Zhelyabin, P. S. Kolesnikov, V. M. Kopytov, L. L. Maksimova, I. A. Maltsev, A. S. Morozov, A. A. Nikitin, E. V. Ovchinnikova, S. P. Odintsov, D. E. Palchunov, N. A. Peryazev, A. G. Pinus, L. N. Pobedin, A. P. Pozhidaev, B. Puaza, V. G. Puzarenko, D. O. Revin, V. N. Remeslennikov, N. S. Romanovskii, A. N. Ryaskin, S. S. Starchenko, A. A. Stepanova, S. V. Sudoplatov, E. I. Timoshenko, D. A. Tusupov, N. G. Khisamiev, V. A. Churkin, Z. Shatzidakis, M. V. Shvidefski, K. M. Shegirov, I. P. Shestakov, “Evgenii Andreevich Palyutin (1945-2018)”, Sibirskie elektronnye matematicheskie izvestiya, 16 (2019), A1–A10
33.
W. Guo, D. V. Lytkina, V. D. Mazurov, D. O. Revin, “Integral Cayley Graphs”, Algebra and Logic, 58:4 (2019), 297–305
34.
D. O. Revin, “Submaximal and Epimaximal $\mathfrak{X}$ -Subgroups”, Algebra and Logic, 58:6 (2019), 475–479
35.
W. Guo, D. O. Revin, “Classification and properties of the $\pi$-submaximal subgroups in minimal nonsolvable groups”, Bulletin of Mathematical Sciences, 8:2 (2018), 325–351 , arXiv: arXiv:1706.02016
C.Zhang, W.Guo, N.V.Maslova, D.O.Revin, “On Prime Spectrum of Maximal Subgroups in Finite Groups”, Algebra Colloquium, 25:4 (2018), 579–584
37.
W. Guo, N. V. Maslova, D. O. Revin, “On the pronormality of subgroups of odd index in some extensions of finite groups”, Siberian Mathematical Journal, 59:4 (2018), 610–622
38.
W. Guo, D. O. Revin, “Maximal and Submaximal $\mathfrak X$-Subgroups”, Algebra and Logic, 57:1 (2018), 9–28
39.
W. Guo, D. O. Revin, “Conjugacy of Maximal and Submaximal $\mathfrak{X}$-Subgroups”, Algebra and Logic, 57:3 (2018), 169–181
40.
A. Buturlakin, D. Revin, A. Vasilev, “Groups with bounded centralizer chains and the Borovik - Khukhro conjecture”, Journal of Group Theory, 21:6 (2018), 1095–1110 , arXiv: arXiv:1708.03057
41.
W. Guo, A. A. Buturlakin, D. O. Revin, “Equivalence of the existence of nonconjugate and nonisomorphic Hall $\pi$-subgroups”, Proceedings of the Steklov Institute of Mathematics, 303:S1 (2018), 94–99
42.
A.S. Kondratev, N.V. Maslova and D.O.Revin, “On Pronormal Subgroups in Finite Simple Groups”, Doklady Mathematics, 98:2 (2018), 405–408
43.
W. Guo, D. O. Revin, “Pronormality and submaximal $\mathfrak{X}$-subgroups in finite groups”, Communications in Mathematics and Statistics, 6:3 (2018), 289–317
A. S. Kondrat’ev, N. V. Maslova, D. O. Revin, “On pronormality of subgroups of odd index in finite simple symplectic groups”, Siberian Mathematical Journal, 58:3 (2017), 467–475
45.
E.P.Vdovin, M.N.Nesterov, D.O.Revin, “Pronormality of Hall subgroups in their normal closure”, Algebra and Logic, 55:6 (2017), 451–457
46.
A. S. Kondrat’ev, N. V. Maslova, D. O. Revin, “A pronormality criterion for supplements to abelian normal subgroups”, Proceedings of the Steklov Institute of Mathematics, 296:S1 (2017), 145–150
47.
N. V. Maslova, D. O. Revin, “Nonabelian Composition Factors of a Finite Group Whose Maximal Subgroups of Odd Indices Are Hall Subgroups”, Proceedings of the Steklov Institute of Mathematics, 299:Suppl1 (2017), 148–157
48.
E.P.Vdovin, D.O.Revin, “Abnormality Criteria for $p$-Complements”, Algebra and Logic, 55:5 (2016), 347–353
49.
A. A. Galt, D. O. Revin, “Lokalnyi sluchai v teoreme Ashbakhera dlya lineinykh i unitarnykh grupp”, Sib. elektron. matem. izv., 13 (2016), 1207–1218 http://semr.math.nsc.ru/v13/p1207-1218.pdf
A. S. Kondrat'ev, N. V.Maslova, D. O. Revin, “On the pronormality of subgroups of odd index in finite simple groups”, Siberian Mathematical Journal, 56:6 (2015), 1101–1107
53.
N. V. Maslova, D. O. Revin, “On the normal structure of a finite group with restrictions on the maximal subgroups”, Groups St Andrews 2013, ISBN: 9781107514546 (St Andrews, Scotland, 3rd-11th August 2013), London Mathematical Society Lecture Note Series, 422, eds. C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal, Cambridge University Press, Cambridge, 2015, 428–435
54.
A. A. Galt, W. Guo, E. M. Averkin, D. O. Revin, “On the Local Case in the Aschbacher Theorem for Linear and Unitary Groups”, Siberian Mathematical Journal, 55:2 (2014), 239–245
55.
W. Guo, D. O. Revin, “On the class of groups with pronormal Hall $\pi$-subgroups”, Siberian Mathematical Journal, 55:3 (2014), 415–427
56.
D. O. Revin, E. P. Vdovin, “Frattini argument for Hall subgroups”, Journal of Algebra, 414:S (2014), 95–104 , arXiv: https://arxiv.org/abs/1401.7719
D. O. Revin, “Reshenie problemy Vilanda”, Teoreticheskie i prikladnye aspekty matematiki, informatiki i obrazovaniya: materialy mezhdunarodnoi nauchnoi konferentsii, ISNB 978-5-261-00990-0 (Arkhangelsk, 16–21 noyabrya 2014 g.), SAFU, Arkhangelsk, 2014, 259–263
58.
E. P. Vdovin, D. O. Revin, “On the pronormality of Hall subgroups”, Siberian Math. J., 54:1 (2013), 22–28 , arXiv: https://arxiv.org/abs/1302.0933
59.
E. P. Vdovin, D. O. Revin, “Pronormality and Strong Pronormality of Subgroups”, Algebra and Logic, 52:1 (2013), 15–23 , arXiv: https://arxiv.org/abs/1302.0933
60.
N. V. Maslova, D. O. Revin, “Generation of a Finite Group with Hall Maximal Subgroups by a Pair of Conjugate Elements”, Proceedings of the Steklov Institute of Mathematics, 285:1Suppl (2014), 139–145
61.
E. P. Vdovin, D. O. Revin, “Neradikalnost klassa $E_\pi$-grupp”, Trudy Instituta matematiki NAN Belarusi, 21:1 (2013), 35–39
A. A. Buturlakin, D. O.Revin, “On $p$-complements of finite groups”, Sib. elektron. matem. izv., 10 (2013), 414–417 http://semr.math.nsc.ru/v10/p414-417.pdf
N. V. Maslova, D. O. Revin, “On Nonabelian Composition Factors of a Finite Prime Spectrum Minimal Group”, Proceedings of the Steklov Institute of Mathematics, 287:Supl. 1 (2014), S116–S127
64.
E. P. Vdovin, D. O. Revin, L. A.Shemetkov, “Formations of finite $C_\pi$-groups”, St. Petersburg Math. J., 24:1 (2013), 29–37
65.
E. P. Vdovin, D. O. Revin, “Pronormality of Hall subgroups in finite simple groups”, Siberian Math. J., 53:3 (2012), 419–430 , arXiv: https://arxiv.org/abs/1302.0931
66.
N. V. Maslova, D. O. Revin, “Finite groups whose maximal subgroups have the Hall property”, Siberian Advances in Mathematics, 23:3 (2013), 196–209
67.
D. O. Revin, “O svoistve $C_\pi$ v reshetke nadgrupp $\pi$-khollovoi podgruppy”, Matematicheskii forum (Itogi nauki. Yug Rossii), 6, Gruppy i grafy (2012), 142–148
68.
N. V. Maslova, D. O. Revin, “Svoistva konechnykh grupp s khollovymi maksimalnymi podgruppami”, Matematicheskii forum (Itogi nauki. Yug Rossii), 6, Gruppy i grafy (2012), 109–117
69.
D. O. Revin, “On Baer–Suzuki $\pi$-theorems”, Siberian Math. J., 52:2 (2011), 340–347
70.
Danila O. Revin, Evgeny P. Vdovin, “An existence criterion for Hall subgroups of finite groups”, J. Group Theory, 14:1 (2011), 93–101 , arXiv: https://arxiv.org/abs/0803.3868v3
D. O. Revin, E. P. Vdovin, “Generalizations of the Sylow theorem”, Groups St Andrews 2009 in Bath, Groups St Andrews 2009 (Bath (UK), 1–15 August 2009), London Mathematical Society Lecture Note Series, v. 2, 388, eds. C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal, G. C. Smith, G. Traustason, Cambridge Univ. Pres., Cambridge, 2011, 488–519
72.
D. O. Revin, “On a relation between the Sylow and Baer–Suzuki theorems”, Siberian Math. J., 52:5 (2011), 904–913
73.
E. P. Vdovin, D. O. Revin, “Theorems of Sylow type”, Russian Math. Surveys, 66:5 (2011), 829–870
74.
E. P. Vdovin, N. Ch. Manzaeva, D. O. Revin, “On the Heritability of the Property $D_\pi$ by Subgroups”, Proceedings of the Steklov Institute of Mathematics, 279:Suppl. 1 (2012), S130–S138
75.
A. V. Zavarnitsin, D.O.Revin, Teoriya predstavlenii i kharakterov, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2011 , 124 pp.
76.
E. P. Vdovin, D. O. Revin, “A conjugacy criterion for Hall subgroups in finite groups”, Siberian Math. J., 51:3 (2010), 402–409 , arXiv: https://arxiv.org/abs/1004.1245
77.
D. O. Revin, E. P. Vdovin, “On the number of classes of conjugate Hall subgroups in finite simple groups”, J. Algebra, 324:12 (2010), 3614–3652 , arXiv: 0912.1922
D. O. Revin, “Around a conjecture of P. Hall”, Sib. Èlektron. Mat. Izv., 6 (2009), 366–380
79.
D. O. Revin, “The $D_\pi$-property of linear and unitary groups”, Siberian Math. J., 49:2 (2008), 353–361
80.
D. O. Revin, “The $D_\pi$-property in finite simple groups”, Algebra and Logic, 47:3 (2008), 210–227
81.
D. O. Revin, “The $D_\pi$ property of finite groups in the case $2\notin\pi$”, Proceedings of the Steklov Institute of Mathematics, 257, suppl. 1 (2007), S164–S180
82.
D. O. Revin, “A characterization of finite $D_\pi$-groups”, Doklady Math., 76:3 (2007), 925–928
83.
E. P. Vdovin, D. O. Revin, “Hall subgroups of finite groups”, Ischia Group Theory 2004: Proceedings of a Conference in honour of Marcel Herzog, Conference in honour of Marcel Herzog (Naples (Italy), March 31–April 3, 2004), Contemporary mathematics, 402, Amer. Math. Soc., Providence, RI, eds. Z. Arad, M. Bianchi, W. Herfort, P. Longobardi, M. Maj, C. Scoppola, 2006, 229–265
D. O. Revin, “The characters of groups of type $X\wr\mathbb Z_p$”, Sib. Èlektron. Mat. Izv., 1 (2004), 110–116
85.
V. I. Zenkov, V. S. Monakhov, D. O. Revin, “An Analog for the Frattini Factorization of Finite Groups”, Algebra and Logic, 43:2 (2004), 102–108
86.
V. D. Mazurov, D. O. Revin, “Arifmeticheskie svoistva periodicheskikh grupp”, Matematika. Mekhanika, Informatika 2002. Vserossiiskaya nauchnaya konferentsiya, posvyaschennaya 10-letiyu RFFI (Moskva, 14–16 oktyabrya 2002), Matematika. Mekhanika, Informatika. Trudy konferentsii, posvyaschennoi 10-letiyu RFFI, Fizmatlit, Moskva, 2004, 228–238
87.
D. O. Revin, “Superlocals in Symmetric and Alternating Groups”, Algebra and Logic, 42:3 (2003), 192–206
88.
E. P. Vdovin, D. O. Revin, “Hall subgroups of odd order in finite groups”, Algebra and Logic, 41:1 (2002), 8–29
89.
D. O. Revin, “The $D_\pi$-Property in a Class of Finite Groups”, Algebra and Logic, 41:3 (2002), 187–206
90.
D. O. Revin, “Hall $\pi$-Subgroups of Finite Chevalley Groups Whose Characteristic Belongs to $\pi$”, Siberian Adv. Math., 9:2 (1999), 25–71
91.
V. D. Mazurov, D. O. Revin, “On the Hall $D_\pi$-property for finite groups”, Siberian Math. J., 38:1 (1997), 106–113
92.
D. O. Revin, Kogda izuchenie otnositelno maksimalnykh podgrupp svoditsya k faktorgruppam?, Mezhdunarodnaya konferentsiya po algebre, analizu i geometrii (23-27 avgusta 2021 g., Kazanskii federalnyi universitet, g. Kazan, Rossiya)
Plenarnyi doklad po napravleniyu Algebra i teoriya vychislimosti 23 avgusta 2021 g. (15:55-16:40), 2021 (Published online)
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