|
This article is cited in 7 scientific papers (total in 7 papers)
Thompson's conjecture for simple groups with connected prime graph
I. B. Gorshkov
Abstract:
We deal with finite simple groups $G$ with the property $\pi(G)\subseteq\{2,3,5,7,11,13,17\}$, where $\pi(G)$ is the set of all prime divisors of the order of the group $G$. The set of all such groups is denoted by $\zeta_{17}$. A conjecture of Thompson in [Unsolved Problems in Group Theory, The Kourovka Notebook, 17th edn., Institute of Mathematics SO RAN, Novosibirsk (2010), Question 12.38] is proved valid for all groups with connected prime graph in $\zeta_{17}$.
Keywords:
finite simple group, Thompson’s conjecture.
 Full text:
PDF file (261 kB)
References:
PDF file
HTML file
English version:
Algebra and Logic, 2012, 51:2, 111–127
Bibliographic databases:
  
UDC:
512.542
Received: 24.08.2011
Revised: 05.12.2011
Citation:
I. B. Gorshkov, “Thompson's conjecture for simple groups with connected prime graph”, Algebra Logika, 51:2 (2012), 168–192; Algebra and Logic, 51:2 (2012), 111–127
Citation in format AMSBIB
\Bibitem{Gor12}
\by I.~B.~Gorshkov
\paper Thompson's conjecture for simple groups with connected prime graph
\jour Algebra Logika
\yr 2012
\vol 51
\issue 2
\pages 168--192
\mathnet{http://mi.mathnet.ru/al528}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2986578}
\zmath{https://zbmath.org/?q=an:06115027}
\transl
\jour Algebra and Logic
\yr 2012
\vol 51
\issue 2
\pages 111--127
\crossref{https://doi.org/10.1007/s10469-012-9175-8}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000307243000002}
Linking options:
http://mi.mathnet.ru/eng/al528 http://mi.mathnet.ru/eng/al/v51/i2/p168
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
Liu Sh. Yang Y., “on Thompson'S Conjecture For Alternating Groups a(P+3)”, Sci. World J., 2014, 752598
 -
I. B. Gorshkov, “On Thompson's conjecture for alternating and symmetric groups of degree greater than 1361”, Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 58–65
  -
I. B. Gorshkov, “Towards Thompson's conjecture for alternating and symmetric groups”, J. Group Theory, 19:2 (2016), 331–336
-
N. Ahanjideh, “Thompson's conjecture for finite simple groups of Lie type $B_n$ and $C_n$”, J. Group Theory, 19:4 (2016), 713–733
-
A. Babai, A. Mahmoudifa, “Thompson's conjecture for the alternating group of degree $2p$ and $2p+1$”, Czech. Math. J., 67:4 (2017), 1049–1058
-
N. Ahanjideh, “Thompson's conjecture on conjugacy class sizes for the simple group $PSU_n(q)$”, Int. J. Algebr. Comput., 27:6 (2017), 769–792
-
I. B. Gorshkov, “On Thompson's conjecture for alternating groups of large degree”, J. Group Theory, 20:4 (2017), 719–728
|
| Number of views: |
| This page: | 315 | | Full text: | 61 | | References: | 40 | | First page: | 16 |
|
Terms of Use