On the Root-class Residuality of HNN-extensions of Groups
نویسندگان
چکیده
منابع مشابه
On Groups which contain no HNN-Extensions
A group is called HNN-free if it has no subgroups that are nontrivial HNN-extensions. 23 We prove that finitely generated HNN-free implies virtually polycyclic for a large class of groups. We also consider finitely generated groups with no free subsemigroups of rank 2 25 and show that in many situations such groups are virtually nilpotent. Finally, as an application of our results, we determine...
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A sufficient condition for the existence of HNN-extensions in the class of groups of odd exponent n ≫ 1 is given in the following form. Let Q be a group of odd exponent n > 2 and G be an HNN-extension of Q. If A ∈ G then let F(A) denote the maximal subgroup of Q which is normalized by A. By τA denote the automorphism of F(A) which is induced by conjugation by A. Suppose that for every A ∈ G, wh...
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ژورنال
عنوان ژورنال: Modeling and Analysis of Information Systems
سال: 2014
ISSN: 2313-5417,1818-1015
DOI: 10.18255/1818-1015-2014-4-148-180