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On groups with a triple factorisation

Published online by Cambridge University Press:  20 January 2009

Andrew Fransman
Andrew Fransman
Affiliation:
Department of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, 7535 Bellville, South Africa. E-mail address: afransman@math.uwc.ac.za
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Abstract

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The aim of this paper is to discuss groups G=HK=HA=KA with a triple factorisation as a product of two subgroups H and K and a nilpotent normal subgroup A. It is of interest to know whether such a group G satisfies some nilpotency or supersolubility condition if H and K satisfy the same condition. A positive answer to this problem is given for certain group classes under the hypothesis that A is prefactorised in G = HK. Some applications of the main theorem are also mentioned.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 3 , October 1995 , pp. 421 - 429
Copyright
Copyright © Edinburgh Mathematical Society 1995

References

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