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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2013 Volume 10, Pages 31–37 (Mi semr391)

This article is cited in 5 papers

Mathematical logic, algebra and number theory

On finite groups isospectral to finite simple unitary groups over fields of characteristic 2

M. A. Grechkoseevaa, W. J. Shib

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Department of Mathematics, Chongqing University of Arts and Sciences, Yongchuan, 6402160, Chongqing, P. R. China

Abstract: For every group $U=PSU_n(2^k)$ with $n\geqslant 5$, we find the number of finite groups having the same element orders as $U$.

Keywords: recognition by spectrum, unitary group, field automorphism.

UDC: 512.542

MSC: 20D60

Received December 27, 2012, published January 16, 2013

Language: English



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