On spectra of almost simple groups with symplectic or orthogonal socle
- Authors: Grechkoseeva M.A.1
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Affiliations:
- Sobolev Institute of Mathematics Novosibirsk State University
- Issue: Vol 57, No 4 (2016)
- Pages: 582-588
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170577
- DOI: https://doi.org/10.1134/S0037446616040029
- ID: 170577
Cite item
Abstract
Finite groups are said to be isospectral if they have the same sets of the orders of elements. We investigate almost simple groups H with socle S, where S is a finite simple symplectic or orthogonal group over a field of odd characteristic. We prove that if H is isospectral to S, then H/S presents a 2-group. Also we give a criterion for isospectrality of H and S in the case when S is either symplectic or orthogonal of odd dimension.
About the authors
M. A. Grechkoseeva
Sobolev Institute of Mathematics Novosibirsk State University
Author for correspondence.
Email: gma@math.nsc.ru
Russian Federation, Novosibirsk