ON SOLUBILITY OF GROUPS WITH FEW NORMALISERS, By Mohammad Zarrin

Research

Title	ON SOLUBILITY OF GROUPS WITH FEW NORMALISERS
Type	JournalPaper
Keywords	normaliser subgroups, simple groups, soluble groups
Year	2014
Journal	Bulletin of the Australian Mathematical Society
DOI
Researchers	Mohammad Zarrin

Abstract

In this paper we prove that every 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].