Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A CHARACTERIZATION OF GROUPS PSL(3, q) BY THEIR ELEMENT ORDERS FOR CERTAIN q

  • Darafsheh, M.R. (Center for Theoritical Physics and Mathematics,AEOI,Department of Mathematics and Computer Science, Faculty of Science, University of Tehrah) ;
  • Karamzadeh, N.S. (Center for Theoritical Physics and Mathematics,AEOI,Department of Mathematics and Computer Science, Faculty of Science, University of Tehrah)
  • Published : 2002.05.01

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Abstract

Let G be a finite group and $\omega$(G) the set of elements orders of G. Denote by h($\omega$(G)) the number of isomorphism classes of finite groups H satisfying $\omega$(G)=$\omega$(H). In this paper, we show that for G=PSL(3, q), h($\omega$(G))=1 where q=11, 12, 19, 23, 25 and 27 and h($\omega$(G)=2 where q = 17 and 29.

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References

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