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The Characterization of Finite Simple Groups, L 3(32m–1)(m ≥ 2), by Their Element Orders

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Abstract

In this paper the following theorem is proved: Every group L 3(q) for q = 3(2m–1)(m ≥ 2) is characterized by its set of element orders.

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Authors and Affiliations

  1. Department of Mathematics, South China Normal University, Guangzhou 510613, P. R. China

    Ming Chun Xu

  2. College of Mathematics, Sichuan University, Chengdu 610064, P. R. China

    Ming Chun Xu

Authors
  1. Ming Chun Xu
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Correspondence to Ming Chun Xu.

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Project supported by the National Natural Science Foundation (Grant No. 10171074), Jiangsu Natural Science Foundation (Grant No. BK200133) and the Foundation of State Education Ministry of China

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Xu, M.C. The Characterization of Finite Simple Groups, L 3(32m–1)(m ≥ 2), by Their Element Orders. Acta Math Sinica 21, 899–902 (2005). https://doi.org/10.1007/s10114-004-0448-6

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  • DOI: https://doi.org/10.1007/s10114-004-0448-6

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