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Algebra i logika, 2006, Volume 45, Number 2, Pages 185–202 (Mi al141)  
This article is cited in 29 scientific papers (total in 29 papers)

Recognition of Simple Groups $U_3(Q)$ by Element Orders

A. V. Zavarnitsin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (243 kB) Citations (29)
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Abstract: An exhaustive solution is given to the recognition-by-spectrum problem for finite, simple, three-dimensional unitary groups. For every such group, the number of non-isomorphic, finite, isospectral groups is determined. In particular, a new counterexample to Problem 13.63 in the Kourovka Notebook is furnished.
Keywords: finite group, element order, recognition, spectrum.
Received: 05.01.2005
English version:
Algebra and Logic, 2006, Volume 45, Issue 2, Pages 106–116
DOI: https://doi.org/10.1007/s10469-006-0009-4
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Zavarnitsin, “Recognition of Simple Groups $U_3(Q)$ by Element Orders”, Algebra Logika, 45:2 (2006), 185–202; Algebra and Logic, 45:2 (2006), 106–116
Citation in format AMSBIB
\Bibitem{Zav06}
\by A.~V.~Zavarnitsin
\paper Recognition of Simple Groups $U_3(Q)$ by Element Orders
\jour Algebra Logika
\yr 2006
\vol 45
\issue 2
\pages 185--202
\mathnet{http://mi.mathnet.ru/al141}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2260330}
\zmath{https://zbmath.org/?q=an:1117.20010}
\transl
\jour Algebra and Logic
\yr 2006
\vol 45
\issue 2
\pages 106--116
\crossref{https://doi.org/10.1007/s10469-006-0009-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33646491147}
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:582
    Full-text PDF :208
    References:75
    First page:3
     
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