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Finite groups with two conjugacy class sizes of π-elements of primary and biprimary orders

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Abstract

We determine the structure of a finite group all of whose π-elements of order divisible by at most two primes have conjugacy class sizes 1 or n, where π is a set of primes and n > 1 is a positive integer.

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Authors and Affiliations

  1. Geomathematics Key Lab of Sichuan Province, Chengdu University of Technology, Chengdu, 610059, China

    Changguo Shao

  2. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Qinhui Jiang

Authors
  1. Changguo Shao
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  2. Qinhui Jiang
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Corresponding author

Correspondence to Qinhui Jiang.

Additional information

Communicated by J. S. Wilson.

Project supported by the NNSF of China (Grant No. 11071155) and China Postdoctoral Science Foundation funded project (No: 20100480582).

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Shao, C., Jiang, Q. Finite groups with two conjugacy class sizes of π-elements of primary and biprimary orders. Monatsh Math 169, 105–112 (2013). https://doi.org/10.1007/s00605-011-0367-4

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  • DOI: https://doi.org/10.1007/s00605-011-0367-4

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