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Finite groups with many product conjugacy classes

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Abstract

We classify all finite groupsG such that the product of any two non-inverse conjugacy classes ofG is always a conjugacy class ofG. We also classify all finite groupsG for which the product of any twoG-conjugacy classes which are not inverse modulo the center ofG is again a conjugacy class ofG.

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Authors and Affiliations

  1. Mathematics Department, University of Illinois at Urbana-Champaign, 1409 W. Green St., 61801, Urbana, IL, USA

    Everett C. Dade

  2. School of Mathematics, Harish-Chandra Research Institute, Chhatnag Road, 211 019, Jhunsi, Allahabad, India

    Manoj K. Yadav

Authors
  1. Everett C. Dade
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  2. Manoj K. Yadav
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Dade, E.C., Yadav, M.K. Finite groups with many product conjugacy classes. Isr. J. Math. 154, 29–49 (2006). https://doi.org/10.1007/BF02773598

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  • DOI: https://doi.org/10.1007/BF02773598

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