Sib. Èlektron. Mat. Izv., 2010, Volume 7, Pages 435–444
This article is cited in 2 scientific papers (total in 2 papers)
Quasirecognizability of simple unitary groups over fields of even order
M. A. Grechkoseeva
Sobolev Institute of Mathematics, Novosibirsk, Russia
We refer to the set of element orders of a finite group as the spectrum of this group and say that two groups are isospectral if their spectra coincide. We prove that finite simple unitary groups of dimension at least $5$ over fields of characteristic $2$ other than $U_5(2)$ are quasirecognizable by spectrum, that is every finite group isospectral to such unitary group $U$ has a unique nonabelian composition factor and this factor is isomorphic to $U$.
unitary group, element orders, spectrum.
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Received November 17, 2010, published November 25, 2010
M. A. Grechkoseeva, “Quasirecognizability of simple unitary groups over fields of even order”, Sib. Èlektron. Mat. Izv., 7 (2010), 435–444
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\paper Quasirecognizability of simple unitary groups over fields of even order
\jour Sib. \`Elektron. Mat. Izv.
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This publication is cited in the following articles:
Grechkoseeva M.A., “On spectra of covers of finite simple classical groups”, Dokl. Math., 84:1 (2011), 464–466
M. A. Grechkoseeva, W. J. Shi, “On finite groups isospectral to finite simple unitary groups over fields of characteristic 2”, Sib. elektron. matem. izv., 10 (2013), 31–37
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