Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
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, 2005, Volume 46, Number 4, Pages 749–758 (Mi smj1001)  
This article is cited in 35 scientific papers (total in 35 papers)

On recognition by spectrum of finite simple linear groups over fields of characteristic 2

A. V. Vasil'eva, M. A. Grechkoseevab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University, Mechanics and Mathematics Department
Full-text PDF (242 kB) Citations (35)
References:
PDF
HTML
Abstract: A finite group $G$ is said to be recognizable by spectrum, i.e., by the set of element orders, if every finite group $H$ having the same spectrum as $G$ is isomorphic to $G$. We prove that the simple linear groups $L_n(2^k)$ are recognizable by spectrum for $n=2^m\geqslant 32$.
Keywords: finite group, finite simple group, linear group, spectrum of a group, recognition by spectrum, prime graph.
Received: 20.03.2005
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 4, Pages 593–600
DOI: https://doi.org/10.1007/s11202-005-0060-8
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Vasil'ev, M. A. Grechkoseeva, “On recognition by spectrum of finite simple linear groups over fields of characteristic 2”, Sibirsk. Mat. Zh., 46:4 (2005), 749–758; Siberian Math. J., 46:4 (2005), 593–600
Citation in format AMSBIB
\Bibitem{VasGre05}
\by A.~V.~Vasil'ev, M.~A.~Grechkoseeva
\paper On recognition by spectrum of finite simple linear groups over fields of characteristic~2
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 4
\pages 749--758
\mathnet{http://mi.mathnet.ru/smj1001}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2169394}
\zmath{https://zbmath.org/?q=an:1117.20019}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 4
\pages 593--600
\crossref{https://doi.org/10.1007/s11202-005-0060-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000231331700003}
Linking options:
  • https://www.mathnet.ru/eng/smj1001
  • https://www.mathnet.ru/eng/smj/v46/i4/p749
    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:507
    Full-text PDF :125
    References:58
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024