M. A. Grechkoseeva, D. V. Lytkin, “Almost recognizability by spectrum of finite simple linear groups of prime dimension”, Sibirsk. Mat. Zh., 53:4 (2012), 805–818; Siberian Math. J., 53:4 (2012), 645

Sibirskii Matematicheskii Zhurnal

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

Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
	Find

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

Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 4, Pages 805–818 (Mi smj2365)

This article is cited in 8 scientific papers (total in 8 papers)

Almost recognizability by spectrum of finite simple linear groups of prime dimension

M. A. Grechkoseeva^a, D. V. Lytkin^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University, Novosibirsk

Full-text PDF (353 kB) Citations (8)

References:

PDF

HTML

Abstract: The spectrum of a group is the set of its element orders. Let

L = P S L_{n} (q)

$L=PSL_n(q)$ , where

n

$n$ is a prime greater than

3

$3$ . We show that every finite group whose spectrum is the same as the spectrum of

L

$L$ is isomorphic to an extension of

L

$L$ by a subgroup of the outer automorphism group of

L

$L$ .

Keywords: simple linear group, prime graph, quasirecognizability by spectrum.

Received: 02.09.2011

English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 4, Pages 645–655
DOI: https://doi.org/10.1134/S0037446612040076

Bibliographic databases:

Document Type: Article

UDC: 512.542

Language: Russian

Citation: M. A. Grechkoseeva, D. V. Lytkin, “Almost recognizability by spectrum of finite simple linear groups of prime dimension”, Sibirsk. Mat. Zh., 53:4 (2012), 805–818; Siberian Math. J., 53:4 (2012), 645–655

Citation in format AMSBIB

\Bibitem{GreLyt12}

\by M.~A.~Grechkoseeva, D.~V.~Lytkin

\paper Almost recognizability by spectrum of finite simple linear groups of prime dimension

\jour Sibirsk. Mat. Zh.

\yr 2012

\vol 53

\issue 4

\pages 805--818

\mathnet{http://mi.mathnet.ru/smj2365}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3013528}

\transl

\jour Siberian Math. J.

\yr 2012

\vol 53

\issue 4

\pages 645--655

\crossref{https://doi.org/10.1134/S0037446612040076}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000307983400007}

\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84865463433}

Linking options:

https://www.mathnet.ru/eng/smj2365

https://www.mathnet.ru/eng/smj/v53/i4/p805

This publication is cited in the following 8 articles:

Natalia V. Maslova, Viktor V. Panshin, Alexey M. Staroletov, “On characterization by Gruenberg–Kegel graph of finite simple exceptional groups of Lie type”, European Journal of Mathematics, 9:3 (2023)
Maria A. Grechkoseeva, Victor D. Mazurov, Wujie Shi, Andrey V. Vasil'ev, Nanying Yang, “Finite Groups Isospectral to Simple Groups”, Commun. Math. Stat., 11:2 (2023), 169
M. A. Grechkoseeva, M. A. Zvezdina, “On recognition of $l_4(q)$ and $u_4(q)$ by spectrum”, Siberian Math. J., 61:6 (2020), 1039–1065
Yang N. Grechkoseeva M.A. Vasil'ev A.V., “on the Nilpotency of the Solvable Radical of a Finite Group Isospectral to a Simple Group”, J. Group Theory, 23:3 (2020), 447–470
A. M. Staroletov, “On recognition of alternating groups by prime graph”, Sib. elektron. matem. izv., 14 (2017), 994–1010
Grechkoseeva M.A. Vasil'ev A.V., “on the Structure of Finite Groups Isospectral To Finite Simple Groups”, J. Group Theory, 18:5 (2015), 741–759
Vasil'ev A.V., “on Finite Groups Isospectral To Simple Classical Groups”, J. Algebra, 423 (2015), 318–374
M. A. Zvezdina, “On nonabelian simple groups having the same prime graph as an alternating group”, Siberian Math. J., 54:1 (2013), 47–55

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

Statistics & downloads:
Abstract page:	407
Full-text PDF :	135
References:	65
First page:	9

Что такое QR-код?

Registration to the website

Logotypes