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This article is cited in 18 scientific papers (total in 18 papers)
A criterion of unrecognizability by spectrum for finite groups
V. D. Mazurovab, W. J. Shic 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.
Received: 02.11.2009
Citation:
V. D. Mazurov, W. J. Shi, “A criterion of unrecognizability by spectrum for finite groups”, Algebra Logika, 51:2 (2012), 239–243; Algebra and Logic, 51:2 (2012), 160–162
Linking options:
https://www.mathnet.ru/eng/al532 https://www.mathnet.ru/eng/al/v51/i2/p239
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