On the centralizers of finite subgroups in quasi-HNN groups
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MAHMOOD, R-M. On the centralizers of finite subgroups in quasi-HNN groups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, nr. 2(63), pp. 100-108. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(63) / 2010 / ISSN 1024-7696 /ISSNe 2587-4322

On the centralizers of finite subgroups in quasi-HNN groups

Pag. 100-108

Mahmood R-M
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

Quasi-HNN groups can be characterized as a generalization of HNN groups in the sense that there is a stable letter t 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.

Cuvinte-cheie
Quasi-HNN groups, one-relator groups