Subgroups of quasi-HNN groups
R. M. S. Mahmood,M. I. Khanfar +1 more
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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.Abstract:
We extend the structure theorem for the subgroups of the class of
HNN groups to a new class of groups called quasi-HNN groups. The
main technique used is the subgroup theorem for groups acting on
trees with inversions.read more
Citations
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A remark on the intersection of the conjugates of the base of quasi-hnn groups
TL;DR: 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 .
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On centralizers of elements of groups acting on trees with inversions
TL;DR: In this paper, the authors show that if G is a group acting on a tree X with inversions such that each edge stabilizer is malnormal in G, then the centralizer C ( g ) of each nontrivial element g of G is in a======vertex stabilizer if g is in that vertex stabilizer.
On fibers and accessibility of groups acting on trees with inversions
TL;DR: In this paper, it was shown that if a group acting on a tree can transfer an edge of a tree into its inverse, then the group is an accessible group on the fiber tree.
References
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Book
Combinatorial Group Theory
Roger C. Lyndon,Paul E. Schupp +1 more
TL;DR: In this article, the authors introduce the concept of Free Products with Amalgamation (FPAM) and Small Cancellation Theory over free products with amalgamation and HNN extensions.
Journal ArticleDOI
Subgroups of HNN groups
TL;DR: In this article, a more precise form of Theorem 1 of [2] was given, which gives a structure theorem for subgroups of HNN groups; this was later extended in [3] and [4].