This article is cited in 4 papers

Research papers

Isospectral finite simple groups

A. A. Buturlakin<sup>ab

a</sup> Novosibirsk State University
^b Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: The spectrum of a finite group is the set of its element orders. Two groups are called isospectral if their spectra coincide. It is known that $PSp_6(2)$ is isospectral to $P\Omega^+_8(2)$ and $\Omega_7(3)$ is isospectral to $P\Omega^+_8(3)$. In the present paper we prove that there are no other pairs of non-isomorphic isospectral finite simple groups. In particular, we prove that there are no three finite simple groups with the same spectrum.

UDC: 512.542

MSC: 20D60

Received December 24, 2009, published May 28, 2010

Language: English

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