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GCI-groups in the alternating groups

Author

Listed:
  • Yang, Xu
  • Liu, Weijun
  • Chen, Jing
  • Feng, Lihua

Abstract

The concept of generalized Cayley graphs was first introduced by Marušič et al. (1992). In this paper, we will study the isomorphism problem of generalized Cayley graphs. Similar to the concept of CI-groups corresponding to Cayley graphs, we define the so-called GCI-groups corresponding to generalized Cayley graphs. The main result we show is that the alternating group An is a GCI-group if and only if n=4.

Suggested Citation

  • Yang, Xu & Liu, Weijun & Chen, Jing & Feng, Lihua, 2017. "GCI-groups in the alternating groups," Applied Mathematics and Computation, Elsevier, vol. 303(C), pages 42-47.
    • Handle: RePEc:eee:apmaco:v:303:y:2017:i:c:p:42-47
    DOI: 10.1016/j.amc.2017.01.022
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    References listed on IDEAS

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    1. Yang, Xu & Feng, Lihua & Liu, Weijun, 2016. "Some properties of graphs constructed from 2-designs," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 1-11.
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    Cited by:

    1. Liao, Qianfen & Liu, Weijun, 2023. "GCI-property of some groups," Applied Mathematics and Computation, Elsevier, vol. 438(C).

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