Recognition by spectrum for finite simple linear groups of small dimensions over fields of characteristic 2

• Autores: A. V. Vasil'ev, M. A. Grechkoseeva
• Localización: Algebra and logic, ISSN 0002-5232, Vol. 47, Nº. 5, 2008, págs. 314-320
• Idioma: inglés
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• Resumen

  • Two groups are said to be isospectral if they share the same set of element orders. For every finite simple linear group L of dimension n over an arbitrary field of characteristic 2, we prove that any finite group G isospectral to L is isomorphic to an automorphic extension of L. An explicit formula is derived for the number of isomorphism classes of finite groups that are isospectral to L. This account is a continuation of the second author's previous paper where a similar result was established for finite simple linear groups L in a sufficiently large dimension (n > 26), and so here we confine ourselves to groups of dimension at most 26.