International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 25-28, Pages 1293-1297
doi:10.1155/S0161171204309191

A remark on the intersection of the conjugates of the base of quasi-HNN groups.

Abstract

Quasi-HNN groups can be characterized as a generalization of HNN groups. In this paper, we show that if G∗ is a quasi-HNN group of base G, then either any two conjugates of G are identical or their intersection is contained in a conjugate of an associated subgroup of G.