V. N. Knyagina, V. S. Monakhov, “On the $\pi'$-properties of a finite group possessing a Hall $\pi$-subgroup”, Sibirsk. Mat. Zh., 52:2 (2011), 297–309; Siberian Math. J., 52:2 (2011), 234

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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 2, Pages 297–309 (Mi smj2197)

This article is cited in 37 scientific papers (total in 37 papers)

On the

$\pi'$ -properties of a finite group possessing a Hall

$\pi$ -subgroup

V. N. Knyagina^a, V. S. Monakhov^b

^a Gomel Engineering Institute, Ministry of Extraordinary Situations of the Republic of Belarus, Gomel, Belarus
^b Francisk Skorina Gomel State University, Gomel, Belarus

Full-text PDF (330 kB) Citations (37)

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Abstract: We study the

$\pi'$ -properties of a finite group possessing a Hall

$\pi$ -subgroup that permutes with some Sylow subgroups or some minimal nonnilpotent subgroups.

Keywords: finite group, Hall subgroup, supplement, commuting subgroups.

Received: 17.12.2009

English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 2, Pages 234–243
DOI: https://doi.org/10.1134/S0037446611020066

Bibliographic databases:

Document Type: Article

UDC: 512.542

Language: Russian

Citation: V. N. Knyagina, V. S. Monakhov, “On the

$\pi'$ -properties of a finite group possessing a Hall

$\pi$ -subgroup”, Sibirsk. Mat. Zh., 52:2 (2011), 297–309; Siberian Math. J., 52:2 (2011), 234–243

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/smj2197

https://www.mathnet.ru/eng/smj/v52/i2/p297

This publication is cited in the following 37 articles:

A.-Ming Liu, Zhigang Wang, Vasily G. Safonov, Alexander N. Skiba, “On One Open Question of the Theory of $\sigma$ -Properties of a Finite Group”, Commun. Math. Stat., 2024
Xiaohong Zhang, Chenchen Cao, Zhenfeng Wu, “Finite groups with some σ -primary subgroups weakly m -ℋ-permutable”, Communications in Algebra, 2024, 1
E. Zubei, “On a finite group with OS-propermutable Sylow subgroup”, Acta Math. Hungar., 2024
Chenchen Cao, Wenbin Guo, “Characterizations of finite groups with σ-semiembedded subgroups”, J. Algebra Appl., 22:09 (2023)
Venus Amjid, Muhammad Tanveer Hussain, Zhenfeng Wu, “On weakly σ-semipermutable subgroups of finite groups”, J. Algebra Appl., 22:02 (2023)
Xin-Fang Zhang, Wenbin Guo, Inna N. Safonova, Alexander N. Skiba, “A Robinson description of finite PσT-groups”, Journal of Algebra, 631 (2023), 218
Ch. Cao, W. Guo, Sh. Qiao, “On $C$ - $\mathcal{H}$ -permutable subgroups of finite groups”, Siberian Math. J., 63:2 (2022), 356–364
Yu. Mao, X. Ma, W. Guo, “A new characterization of finite $\sigma$ -soluble $P\sigma T$ -groups”, Siberian Math. J., 62:1 (2021), 105–113
Wu Zh., Guo W., “On a Theorem of Ito and Szep”, J. Group Theory, 24:2 (2021), 293–303
Guo J., Guo W., Qiao S., Zhang C., “On M-SIGMA-Embedded Subgroups of Finite Groups”, Acta Math. Hung., 165:1 (2021), 100–111
E. V. Zubei, “Konechnye gruppy s $OS$ -properestanovochnymi podgruppami”, Chebyshevskii sb., 22:3 (2021), 457–463
Hu B., Huang J., Skiba A.N., “on the Lattice of All H-Permutable Subgroups of a Finite Group”, Bull. Iran Math. Soc., 46:2 (2020), 293–301
Adarchenko N.M., “a New Characterization of Finite SIGMA-Soluble P SIGMA T-Groups”, Algebra Discret. Math., 29:1, SI (2020), 33–41
V. Amjid, W. Guo, B. Li, “On $\sigma$ -embedded and $\sigma$ - $n$ -embedded subgroups of finite groups”, Siberian Math. J., 60:3 (2019), 389–397
Cao Ch., Amjid V., Zhang Ch., “on Weakly H-Permutable Subgroups of Finite Groups”, Math. Slovaca, 69:4 (2019), 763–772
Mao Yu. Cao Ch. Guo W., “on SIGMA-Conditionally Permutable Subgroups of Finite Groups”, Commun. Algebr., 47:10 (2019), 4271–4282
Wei X., “on Weakly M-SIGMA-Permutable Subgroups of Finite Groups”, Commun. Algebr., 47:3 (2019), 945–956
Zhu X., Cao Ch., Guo W., “Finite SIGMA-Soluble Groups in Which SIGMA-Permutability Is a Transitive Relation”, J. Algebra. Appl., 18:4 (2019), 1950064
C. Cao, Z. Wu, W. Guo, “Finite groups with given weakly $\sigma$ -permutable subgroups”, Siberian Math. J., 59:1 (2018), 157–165
V. S. Monakhov, E. V. Zubei, “O perestanovochnosti silovskoi podgruppy s podgruppami Shmidta iz nekotorogo ee dobavleniya”, Tr. IMM UrO RAN, 24, no. 3, 2018, 145–154

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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