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On commuting automorphisms of groups

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Abstract

This paper examines group automorphisms for which each element commutes with its image. These automorphisms do not necessarily form a subgroup of the automorphism group, but have a number of interesting properties, close to those of central automorphisms.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5939, 13060, Safat, Kuwait

    M. Deaconescu

  2. Department of Mathematics, Western University of Timi§oara, 1900, Timi§oara, Romania

    G. Silberberg

  3. Department of Mathematics, University of Southern Mississippi, Box 5045, 39406, Hattiesburg, MS, U.S.A.

    G. L. Walls

Authors
  1. M. Deaconescu
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  2. G. Silberberg
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  3. G. L. Walls
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Additional information

Research of the first named author was supported by Grant SM 177 from Kuwait University Research Administration.

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Deaconescu, M., Silberberg, G. & Walls, G.L. On commuting automorphisms of groups. Arch. Math 79, 423–429 (2002). https://doi.org/10.1007/BF02638378

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  • DOI: https://doi.org/10.1007/BF02638378

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