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Conjugate purity and infinite groups

Published online by Cambridge University Press:  09 April 2009

Bola O. Balogun
Bola O. Balogun
Affiliation:
University of IfeIle-Ife Nigeria
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Abstract

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In Balogun (1974), we proved that a finite group in which every subgroup is conjugately pure is necessarily Abelian and we left open the infinite case. In this paper we settle this problem positively for soluble, locally soluble groups and certain classes of groups which include the FC-groups. In the last section of this paper we characterize groups which are conjugately pure in every containing group.

Subject classification (Amer. Math. Soc. (MOS) 1970): 20 E 99.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 1 , August 1979 , pp. 9 - 14
Copyright
Copyright © Australian Mathematical Society 1979

References

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