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

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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. Sozutov^a, A. K. Shlepkin^b

^a Krasnoyarsk State Academy of Architecture and Construction
^b Krasnoyarsk State Agricultural University

Full-text PDF (247 kB) Citations (11)

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DOI: https://doi.org/10.4213/mzm434

Abstract: In the paper, on the basis of the notion of saturation introduced in [1], we give a characterization of locally finite simple groups

R e (P)

$Re(P)$ ,

S z (Q)

$Sz(Q)$ and

L_{2} (P)

$L_2(P)$ 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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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:

A. I. Sozutov, “Groups Saturated with Finite Frobenius Groups”, Math. Notes, 109:2 (2021), 270–279
A. I. Sozutov, “On groups with a strongly embedded unitary subgroup”, Sib. elektron. matem. izv., 17 (2020), 1128–1136
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
D. V. Lytkina, V. D. Mazurov, “Periodicheskie gruppy, nasyschennye konechnymi prostymi gruppami”, Tr. In-ta matem., 23:2 (2015), 72–75
K. A. Filippov, “On periodic groups saturated by finite simple groups”, Siberian Math. J., 53:2 (2012), 345–351
Filippov K.A., “Gruppy s usloviyami nasyschennosti”, Matematicheskii forum (itogi nauki. yug Rossii), 6 (2012), 155–164 Groups with saturation properties
D. V. Lytkina, “On the periodic groups saturated by direct products of finite simple groups”, Siberian Math. J., 52:2 (2011), 267–273
A. A. Kuznetsov, K. A. Filippov, “Gruppy, nasyschennye zadannym mnozhestvom grupp”, Sib. elektron. matem. izv., 8 (2011), 230–246
D. V. Lytkina, V. D. Mazurov, “Groups containing a strongly embedded subgroup”, Algebra and Logic, 48:2 (2009), 108–114
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
A. G. Rubashkin, K. A. Filippov, “Periodic groups saturated with the groups $L_2(p^n)$ ”, Siberian Math. J., 46:6 (2005), 1119–1122

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

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