Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
659 0 |
SM ISO690:2012 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 | ||||||
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Pag. 100-108 | ||||||
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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. |
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Cuvinte-cheie Quasi-HNN groups, one-relator groups |
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