V. D. Mazurov, W. J. Shi, “A criterion of unrecognizability by spectrum for finite groups”, Algebra Logika, 2012, Volume 51, Number 2,Pages <nobr>239

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A criterion of unrecognizability by spectrum for finite groups

V. D. Mazurov^ab, W. J. Shi^c

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia
^c Chongqing Univ. Arts Sci., Chongqing, China

Abstract: It is proved that a finite group $G$ is unrecognizable by spectrum if and only if there exists a group isospectral to $G$ containing a nontrivial soluble normal subgroup.

Keywords: finite group, soluble normal subgroup, spectrum.

UDC: 512.5

Received: 02.11.2009