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ON SOLUBILITY OF GROUPS WITH FEW NORMALISERS

Part of: Structure and classification of infinite or finite groups

Published online by Cambridge University Press:  12 May 2014

MOHAMMAD ZARRIN
MOHAMMAD ZARRIN*
Affiliation:
Department of Mathematics, University of Kurdistan, P.O. Box 416, Sanandaj, Iran email m.zarrin@uok.ac.ir, zarrin78@gmail.com
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Abstract

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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].

Keywords

normaliser subgroupssimple groupssoluble groups

MSC classification

Secondary: 20E34: General structure theorems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 90 , Issue 2 , October 2014 , pp. 247 - 249
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

References

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