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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 1, Pages 193–198 (Mi smj1157)  
This article is cited in 19 scientific papers (total in 19 papers)

On generation of sporadic simple groups by three involutions two of which commute

V. D. Mazurov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (176 kB) Citations (19)
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Abstract: We prove the following result: Let $G$ be one of the 26 sporadic simple groups. The group $G$ cannot be generated by three involutions two of which commute if and only if $G$ is isomorphic to $M_{11}$, $M_{22}$, $M_{23}$ or $M^cL$.
Keywords: finite simple group, sporadic group, generator, involution.
Received: 08.12.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 1, Pages 160–164
DOI: https://doi.org/10.1023/A:1022028807652
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: V. D. Mazurov, “On generation of sporadic simple groups by three involutions two of which commute”, Sibirsk. Mat. Zh., 44:1 (2003), 193–198; Siberian Math. J., 44:1 (2003), 160–164
Citation in format AMSBIB
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\pages 193--198
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\zmath{https://zbmath.org/?q=an:1035.20014}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 1
\pages 160--164
\crossref{https://doi.org/10.1023/A:1022028807652}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000181022100015}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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