Monatshefte für Mathematik

, Volume 184, Issue 2, pp 175–184 | Cite as

On semi-rational finite simple groups

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Abstract

An element of a group G is called semi-rational if all generators of \(\langle x\rangle \) lie in the union of two conjugacy classes of G. If all elements of G are semi-rational, then G is called a semi-rational group. In this paper, we determine all semi-rational simple groups. Our study in this article generalises Feit and Seitz’s result (Ill J Math 33(1):103–131, 1989) to semi-rational groups.

Keywords

Semi-rational groups Finite simple groups 

Mathematics Subject Classification

20D05 20E45 
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Notes

Acknowledgments

The authors are grateful to the anonymous referees and the editor for careful reading of the manuscript and for corrections and suggestions.

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Copyright information

© Springer-Verlag Wien 2016

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceBu-Ali Sina UniversityHamedanIran

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