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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (63), 2010/

On the centralizers of finite subgroups in quasi-HNN groups

Authors: R.M. S.Mahmood

Abstract

Quasi-HNN groups can be characterized as a generalization of HNN groups in the sense that there is a stable letter such that the element t2 is in the base. In this paper we show that under certain conditions the centralizer of a finite subgroup in a quasi-HNN group is contained in a conjugate of the base. As an application we show that the centralizer of a finite subgroup in a one-relator group is contained in a conjugate of a one-relator subgroup of shorter relator.

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