Cyclic Conjugacy Separability of HNN Extensions of Cyclic Conjugacy Separable Groups

被引：1

作者：

Lim, H. M. ^{[1
]}

Wong, K. B. ^{[1
]}

Wong, P. C. ^{[1
]}

机构：

[1] Univ Malaya, Inst Sains Matematik, Fak Sains, Kuala Lumpur 50603, Malaysia

来源：

ADVANCES IN INDUSTRIAL AND APPLIED MATHEMATICS | 2016年 / 1750卷

关键词：

HNN extensions; cyclic conjugacy separable; conjugacy separable; subgroup separable;

D O I：

10.1063/1.4954596

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A group G is said to be cyclic conjugacy separable (c.c.s.) if for each x is an element of G and each cyclic subgroup < y > of G such that no conjugate of x in G lies in < y >, then there exists a finite homomorphic image (G) over bar of G such that no conjugate of (x) over bar in (G) over bar lies in <(y) over bar >. In this paper, we show that certain HNN extensions of cyclic conjugacy separable groups are cyclic conjugacy separable. We then apply our results to HNN extensions of polycyclic-by-finite groups.

引用

页数：7

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