Abstract
The purpose of this paper is to give a more precise form of Theorem 1 of [2], which gives a structure theorem for subgroups of HNN groups; we prove the following.Let H be a subgroup of the HNN group <A, xi;xiU-ixi-1 = Ui>. Then H is an HNN group whose base is a tree product of groups H ∪ wAw-1 where w runs over a set of double coset representatives of (H,A); the amalgamated and associated subgroups are all of the form H ∊ vUiv-l for some v. We can be more precise about which subgroups occur and about the tree product. We will also obtain stronger forms of other results in [1] and [2].
Publisher
Cambridge University Press (CUP)
Reference4 articles.
1. [3] Oxley P. C. , Ends of groups and a related construction, (Ph. D. Thesis, Queen Mary College, 1972.)
2. The subgroups of a free product of two groups with an amalgamated subgroup
3. [4] Serre J. -P. , Groupes discretes, (Springer Lecture Notes (to appear).)
4. Subgroups of HNN Groups and Groups with one Defining Relation
Cited by
21 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献