Double coset decompositions of groups

JOURNAL OF ALGEBRA

卷:220

Article

Niblo, GA

关键词: Frobenius groups;    double coset decompositions;    Bass-Serre theory;    residually finite groups;    word hyperbolic groups;   

DOI  :  10.1006/jabr.1999.7935

来源: Elsevier

【 摘 要 】

We show that residually finite or word hyperbolic groups which can be decomposed as a finite union of double cosets of a cyclic subgroup are necessarily virtually cyclic, and we apply this result to the study of Frobenius permutation groups. We show that in general, finite double coset decompositions of a group can be interpreted as an obstruction to splitting a group as a free product with amalgamation or an HNN extension. (C) 1999 Academic Press.

【 授权许可】

Free