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Groups Acting on Groups

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Algebra and Logic Aims and scope

Combinatorial methods are used to give a characterization of finite groups G with Aut(G) Abelian and to show that if G is a finite group and α is an automorphism of G, then the number of fixed points of α in G is a multiple of the number of fixed points of α in G/Z(G).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Kuwait University, P.O. Box 5969, Safat, 13060, Kuwait

    M. Deaconescu

  2. Department of Mathematics, Southeastern Louisiana University, Hammond, LA, 70403, USA

    G. L. Walls

Authors
  1. M. Deaconescu
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  2. G. L. Walls
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Corresponding author

Correspondence to M. Deaconescu.

Additional information

Translated from Algebra i Logika, Vol. 52, No. 5, pp. 582-588, September-October, 2013.

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Deaconescu, M., Walls, G.L. Groups Acting on Groups. Algebra Logic 52, 387–391 (2013). https://doi.org/10.1007/s10469-013-9250-9

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  • DOI: https://doi.org/10.1007/s10469-013-9250-9

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