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OD-Characterization of the automorphism groups of O 10 ± (2)

Author

Listed:
  • Yanxiong Yan

    (Southwest University
    Chongqing University of Education)

  • Guiyun Chen

    (Southwest University)

  • Lili Wang

    (Chongqing University of Technology)

Abstract

The prime graph of a finite group was introduced by Gruenberg and Kegel. The degree pattern of a finite group G associated to its prime graph was introduced in [1] and denoted by D(G). The group G is called k-fold OD-characterizable if there exist exactly k non-isomorphic groups H satisfying conditions (1) |G| = |H| and (2) D(G) = D(H). Moreover, a 1-fold OD-characterizable group is simply called an OD-characterizable group. Till now a lot of finite simple groups were shown to be OD-characterizable, and also some finite groups especially the automorphism groups of some finite simple groups were shown not being OD-characterizable but k-fold OD-characterizable for some k > 1. In the present paper, the authors continue this topic and show that the automorphism groups of orthogonal groups O 10 + (2) and O 10 − (2) are OD-characterizable.

Suggested Citation

  • Yanxiong Yan & Guiyun Chen & Lili Wang, 2012. "OD-Characterization of the automorphism groups of O 10 ± (2)," Indian Journal of Pure and Applied Mathematics, Springer, vol. 43(3), pages 183-195, June.
    • Handle: RePEc:spr:indpam:v:43:y:2012:i:3:d:10.1007_s13226-012-0011-6
    DOI: 10.1007/s13226-012-0011-6
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