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Finite groups have even more conjugacy classes

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Abstract

In his paper Finite groups have many conjugacy classes (J. London Math. Soc (2) 46 (1992), 239–249), L. Pyber proved the to-date best general lower bounds for the number of conjugacy classes of a finite group in terms of the order of the group. In this paper we strengthen the main results in Pyber’s paper.

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References

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Authors and Affiliations

  1. Department of Mathematics, Texas State University, 601 University Drive, San Marcos, TX, 78666, USA

    Thomas Michael Keller

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  1. Thomas Michael Keller
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Correspondence to Thomas Michael Keller.

Additional information

This research was supported by the National Security Agency, Standard Grant No. 08G-206.

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Keller, T.M. Finite groups have even more conjugacy classes. Isr. J. Math. 181, 433–444 (2011). https://doi.org/10.1007/s11856-011-0017-5

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  • DOI: https://doi.org/10.1007/s11856-011-0017-5

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