The validity of a Thompson’s problem for PSL(4,7)

Document Type : Original Article

Authors

Department of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Ave., Tehran 15914, Iran

Abstract

Let πe(G) be the set of elements orders of G. Also let sn be the number of elements of order n in G and nse(G)={sn|n∈πe(G)}. In this paper we prove that if G is a group such that nse(G)=nse(PSL(4,7)), 19||G| and 192∤|G|, then G≅PSL(4,7). As a consequence of this result it follows that Thompson's problem is satisfied for the simple group PSL(4,7).

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References

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AUT Journal of Mathematics and Computing
Volume 1, Issue 1
February 2020
Pages 89-94

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