On spectra of almost simple groups with symplectic or orthogonal socle


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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.

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M. Grechkoseeva

Sobolev Institute of Mathematics Novosibirsk State University

编辑信件的主要联系方式.
Email: gma@math.nsc.ru
俄罗斯联邦, Novosibirsk

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