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Information Journal Paper

Title

ON ALMOST RECOGNIZABILITY BY SPECTRUM OF SIMPLE CLASSICAL GROUPS

Author(s)

 STAROLETOV ALEXEY

Pages

  7-33

Abstract

 The set of ELEMENT ORDERS of a nite group G is called the spectrum. Groups with coinciding spectra are said to be isospectral. It is known that if G has a nontrivial normal soluble subgroup then there exist in nitely many pairwise non-isomorphic groups isospectral to G. The situation is quite different if G is a nonabelain simple group. Recently it was proved that ifL is a simple classical group of dimension at least 62 and G is a nite group isospectral to L, then up to isomorphism L£G£ Aut L. We show that the assertion remains true if 62 is replaced by 38.

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    APA: Copy

    STAROLETOV, ALEXEY. (). . , (), -. SID. https://sid.ir/paper/728322/en

    Vancouver: Copy

    STAROLETOV ALEXEY. . [Internet]. ;():-. Available from: https://sid.ir/paper/728322/en

    IEEE: Copy

    ALEXEY STAROLETOV, “,” , vol. , no. , pp. –, , [Online]. Available: https://sid.ir/paper/728322/en

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