On solubility of groups with few normalisers

Authors

  • M. Zarrin Department of Mathematics, University of Kurdistan, P.O. Box: 416, Sanandaj, Iran

Keywords:

Normalizer subgroups, Simple groups, Soluble groups

Abstract

In this paper we prove that every arbitrary group with at most 26 normalisers is soluble. This gives a positive answer to Conjecture 3.6 in the author’s paper [On groups with a finite number of normalisers’, Bull. Aust. Math. Soc. \(86\) (2012), 416–423]. DOI: 10.1017/S000497271400015X

Published

2014-08-03

Issue

Vol. 90 No. 2 (2014)

Section

Articles
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