A new characterization of $L_2(q)$ by the largest element orders

Authors

  • Q.H. Jiang School of Mathematical Sciences‎, ‎University of Jinan‎, ‎250022‎, ‎Shandong‎, ‎China.
  • W.J. Shi Department of Mathematics‎, ‎Chongqing University of Arts and Sciences‎, ‎402106‎, ‎Chongqing‎, ‎China.
  • ‎C.G. Shao School of Mathematical Sciences‎, ‎University of Jinan‎, ‎250022‎, ‎Shandong‎, ‎China.
  • ‎Q.L. Zhang School of Science‎, ‎NanTong University‎, ‎226019‎, ‎Jiangsu‎, ‎China.
Abstract:

‎We characterize the finite simple groups $L_2(q)$ by the group orders and the largest‎ ‎element orders‎, ‎where $q$ is a prime or $q=2^a$‎, ‎with $2^a+1$ or $2^a-1$ a prime‎.  

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Journal title

volume 43  issue 5

pages  1143- 1151

publication date 2017-10-31

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