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Matematicheskie Zametki, 2002, Volume 72, Issue 3, Pages 433–447
DOI: https://doi.org/10.4213/mzm434
(Mi mzm434)
 

This article is cited in 11 scientific papers (total in 11 papers)

On Some Groups with Finite Involution Saturated with Finite Simple Groups

A. I. Sozutova, A. K. Shlepkinb

a Krasnoyarsk State Academy of Architecture and Construction
b Krasnoyarsk State Agricultural University
References:
Abstract: In the paper, on the basis of the notion of saturation introduced in [1], we give a characterization of locally finite simple groups Re(P), Sz(Q) and L2(P) with an Abelian Sylow 2-subgroup in the classes of mixed and periodic groups. A part of the main results was announced in [2]. Theorem 2 of the paper generalizes results of [3, 4].
Received: 29.01.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 3, Pages 398–410
DOI: https://doi.org/10.1023/A:1020507606449
Bibliographic databases:
UDC: 512.544
Language: Russian
Citation: A. I. Sozutov, A. K. Shlepkin, “On Some Groups with Finite Involution Saturated with Finite Simple Groups”, Mat. Zametki, 72:3 (2002), 433–447; Math. Notes, 72:3 (2002), 398–410
Citation in format AMSBIB
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\by A.~I.~Sozutov, A.~K.~Shlepkin
\paper On Some Groups with Finite Involution Saturated with Finite Simple Groups
\jour Mat. Zametki
\yr 2002
\vol 72
\issue 3
\pages 433--447
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\crossref{https://doi.org/10.4213/mzm434}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1963170}
\zmath{https://zbmath.org/?q=an:1050.20027}
\transl
\jour Math. Notes
\yr 2002
\vol 72
\issue 3
\pages 398--410
\crossref{https://doi.org/10.1023/A:1020507606449}
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Linking options:
  • https://www.mathnet.ru/eng/mzm434
  • https://doi.org/10.4213/mzm434
  • https://www.mathnet.ru/eng/mzm/v72/i3/p433
  • This publication is cited in the following 11 articles:
    1. A. I. Sozutov, “Groups Saturated with Finite Frobenius Groups”, Math. Notes, 109:2 (2021), 270–279  mathnet  crossref  crossref  mathscinet  isi  elib
    2. A. I. Sozutov, “On groups with a strongly embedded unitary subgroup”, Sib. elektron. matem. izv., 17 (2020), 1128–1136  mathnet  crossref
    3. D. V. Lytkina, V. D. Mazurov, “Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups”, Siberian Math. J., 58:5 (2017), 850–858  mathnet  crossref  crossref  isi  elib  elib
    4. D. V. Lytkina, V. D. Mazurov, “Periodicheskie gruppy, nasyschennye konechnymi prostymi gruppami”, Tr. In-ta matem., 23:2 (2015), 72–75  mathnet
    5. K. A. Filippov, “On periodic groups saturated by finite simple groups”, Siberian Math. J., 53:2 (2012), 345–351  mathnet  crossref  mathscinet  isi
    6. Filippov K.A., “Gruppy s usloviyami nasyschennosti”, Matematicheskii forum (itogi nauki. yug Rossii), 6 (2012), 155–164 Groups with saturation properties  elib
    7. D. V. Lytkina, “On the periodic groups saturated by direct products of finite simple groups”, Siberian Math. J., 52:2 (2011), 267–273  mathnet  crossref  mathscinet  isi
    8. A. A. Kuznetsov, K. A. Filippov, “Gruppy, nasyschennye zadannym mnozhestvom grupp”, Sib. elektron. matem. izv., 8 (2011), 230–246  mathnet
    9. D. V. Lytkina, V. D. Mazurov, “Groups containing a strongly embedded subgroup”, Algebra and Logic, 48:2 (2009), 108–114  mathnet  crossref  mathscinet  zmath  isi
    10. V. I. Senashov, A. I. Sozutov, V. P. Shunkov, “Investigation of groups with finiteness conditions in Krasnoyarsk”, Russian Math. Surveys, 60:5 (2005), 805–848  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    11. A. G. Rubashkin, K. A. Filippov, “Periodic groups saturated with the groups L2(pn)”, Siberian Math. J., 46:6 (2005), 1119–1122  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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