D. V. Lytkina, V. D. Mazurov, “Periodic groups saturated with $L_3(2^m)$”, Algebra Logika, 46:5 (2007), 606–626; Algebra and Logic, 46:5 (2007), 330

Loading [MathJax]/jax/output/SVG/config.js

Algebra i logika

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Algebra Logika:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Algebra i logika, 2007, Volume 46, Number 5, Pages 606–626 (Mi al317)

This article is cited in 12 scientific papers (total in 12 papers)

Periodic groups saturated with $L_3(2^m)$

D. V. Lytkina^a, V. D. Mazurov^b

^a Siberian Fund for Algebra and Logic
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Full-text PDF (236 kB) Citations (12)

References:

PDF

HTML

Abstract: Let $\mathfrak M$ be a set of finite groups. A group $G$ is saturated with groups from $\mathfrak M$ if every finite subgroup of $G$ is contained in a subgroup isomorphic to some member of $\mathfrak M$. It is proved that a periodic group $G$ saturated with groups from the set $\{L_3(2^m)\mid m=1,2,\dots\}$ is isomorphic to $L_3(Q)$, for a locally finite field $Q$ of characteristic 2; in particular, it is locally finite.

Keywords: periodic group, locally finite group.

Received: 27.02.2007

English version:
Algebra and Logic, 2007, Volume 46, Issue 5, Pages 330–340
DOI: https://doi.org/10.1007/s10469-007-0033-z

Bibliographic databases:

UDC: 512.544.5

Language: Russian

Citation: D. V. Lytkina, V. D. Mazurov, “Periodic groups saturated with $L_3(2^m)$”, Algebra Logika, 46:5 (2007), 606–626; Algebra and Logic, 46:5 (2007), 330–340

Citation in format AMSBIB

\Bibitem{LytMaz07}

\by D.~V.~Lytkina, V.~D.~Mazurov

\paper Periodic groups saturated with~$L_3(2^m)$

\jour Algebra Logika

\yr 2007

\vol 46

\issue 5

\pages 606--626

\mathnet{http://mi.mathnet.ru/al317}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378633}

\zmath{https://zbmath.org/?q=an:1155.20040}

\transl

\jour Algebra and Logic

\yr 2007

\vol 46

\issue 5

\pages 330--340

\crossref{https://doi.org/10.1007/s10469-007-0033-z}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000255038100005}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36148968934}

Linking options:

https://www.mathnet.ru/eng/al317

https://www.mathnet.ru/eng/al/v46/i5/p606

This publication is cited in the following 12 articles:

A. A. Shlepkin, “Gruppy, nasyschennye konechnymi prostymi gruppami $L_3(2^n)$, $L_4(2^l)$”, Tr. IMM UrO RAN, 28, no. 2, 2022, 249–257
A. I. Sozutov, “Groups Saturated with Finite Frobenius Groups”, Math. Notes, 109:2 (2021), 270–279
A. A. Shlepkin, “O periodicheskoi chasti gruppy Shunkova, nasyschennoi lineinymi i unitarnymi gruppami stepeni 3 nad konechnymi polyami chetnoi kharakteristiki”, Tr. IMM UrO RAN, 27, no. 1, 2021, 207–219
A. A. Shlepkin, I. V. Sabodakh, “O dvukh svoistvakh gruppy Shunkova”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 35 (2021), 103–119
A. A. Shlepkin, “O silovskikh 2-podgruppakh grupp Shunkova, nasyschennykh gruppami $L_3(2^m)$”, Tr. IMM UrO RAN, 25, no. 4, 2019, 275–282
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
A. A. Shlepkin, “O periodicheskoi gruppe Shunkova, nasyschennoi konechnymi prostymi gruppami lieva tipa ranga 1”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 16 (2016), 102–116
D. V. Lytkina, V. D. Mazurov, “Periodicheskie gruppy, nasyschennye konechnymi prostymi gruppami”, Tr. In-ta matem., 23:2 (2015), 72–75
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, “Groups saturated by finite simple groups”, Algebra and Logic, 48:5 (2009), 357–370
D. V. Lytkina, L. R. Tukhvatullina, K. A. Filippov, “Periodic groups saturated by finite simple groups $U_3(2^m)$”, Algebra and Logic, 47:3 (2008), 166–175

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

Statistics & downloads:
Abstract page:	698
Full-text PDF :	182
References:	117
First page:	11

Registration to the website

Logotypes