Recognition of symplectic and orthogonal groups of small dimensions by spectrum
2019 ◽
Vol 18
(12)
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pp. 1950230
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We refer to the set of the orders of elements of a finite group as its spectrum and say that finite groups are isospectral if their spectra coincide. In this paper, we determine all finite groups isospectral to the simple groups [Formula: see text], [Formula: see text], and [Formula: see text]. In particular, we prove that with just four exceptions, every such finite group is an extension of the initial simple group by a (possibly trivial) field automorphism.
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2016 ◽
Vol 09
(03)
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pp. 1650054
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2006 ◽
Vol 58
(1)
◽
pp. 23-38
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2008 ◽
Vol 18
(05)
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pp. 925-933
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2008 ◽
Vol 07
(06)
◽
pp. 735-748
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2019 ◽
Vol 102
(1)
◽
pp. 77-90
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