Recognizabiltiy of groups [G.sub.2] by spectrum

Two groups are said to be isospectral if they have equal sets of element orders. It is proved that for every finite simple exceptional group L = [G.sub.2] (q) of Lie type, any finite group G isospectral to L must be isomorphic to L. Keywords: finite simple group, exceptional group of Lie type, eleme...

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Bibliographic Details
Published in:Algebra and logic 2013-03, Vol.52 (1), p.1
Main Authors: Vasilev, A.V, Staroletov, A.M
Format: Article
Language:English
Subjects:
Finite groups
Isomorphisms (Mathematics)
Online Access:Get full text
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Summary:Two groups are said to be isospectral if they have equal sets of element orders. It is proved that for every finite simple exceptional group L = [G.sub.2] (q) of Lie type, any finite group G isospectral to L must be isomorphic to L. Keywords: finite simple group, exceptional group of Lie type, element order, spectrum of group, recognition by spectrum.
ISSN:0002-5232