Recognition of symplectic and orthogonal groups of small dimensions by spectrum

Результат исследования: Научные публикации в периодических изданияхстатья

1 Цитирования (Scopus)

Аннотация

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 S6(q), O7(q), and O8+(q). 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.

Язык оригиналаанглийский
Номер статьи1950230
ЖурналJournal of Algebra and its Applications
Том18
Номер выпуска12
DOI
СостояниеОпубликовано - 1 дек 2019

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