Recognition of symplectic and orthogonal groups of small dimensions by spectrum Full article
| Journal |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
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| Output data | Year: 2019, Volume: 18, Number: 12, Article number : 1950230, Pages count : 33 DOI: 10.1142/s021949881950230x | ||||
| Tags | orders of elements; recognition by spectrum; Simple classical group | ||||
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Abstract:
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.
Cite:
Grechkoseeva M.A.
, Vasil’ev A.V.
, Zvezdina M.A.
Recognition of symplectic and orthogonal groups of small dimensions by spectrum
Journal of Algebra and its Applications. 2019. V.18. N12. 1950230 :1-33. DOI: 10.1142/s021949881950230x WOS Scopus OpenAlex
Recognition of symplectic and orthogonal groups of small dimensions by spectrum
Journal of Algebra and its Applications. 2019. V.18. N12. 1950230 :1-33. DOI: 10.1142/s021949881950230x WOS Scopus OpenAlex
Dates:
| Submitted: | Jul 13, 2018 |
| Accepted: | Oct 27, 2018 |
| Published print: | Jan 29, 2019 |
Identifiers:
| Web of science: | WOS:000495372300010 |
| Scopus: | 2-s2.0-85060727702 |
| OpenAlex: | W2808732015 |