A remark on the intersection of the conjugates of the base of quasi-hnn groups
TLDR
It is shown 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 .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 .read more
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Journal ArticleDOI
The subgroups of a free product of two groups with an amalgamated subgroup
A. Karrass,D. Solitar +1 more
TL;DR: In this article, it was shown that all subgroups H of a free product G of two groups A, B with an amalgamated subgroup V are obtained by two constructions from the intersection of H and certain conjugates of A, b, and U. The constructions are those of a tree product, a special kind of generalized free product, and of a Higman-NeumannNeumann group.
Book
Homological Group Theory
TL;DR: In this article, the authors present a collection of lectures aimed at presenting in a unified way new developments in the area of group theory, which is approached from a geometrical viewpoint and much of the material has not previously been published.
Journal ArticleDOI
Subgroups of quasi-HNN groups
R. M. S. Mahmood,M. I. Khanfar +1 more
TL;DR: In this article, the subgroup theorem for groups acting on======trees with inversions was extended to quasi-HNN groups, and the main technique used is the sub-group theorem.