FUNDAMENTAL GROUPS OF QUASI GRAPHS OF GROUPS

被引：0

作者：

Mahmood, R. M. S. ^{[1
]}

机构：

[1] Hosn Univ, Abu Dhabi, U Arab Emirates

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2010年 / 39卷 / 02期

关键词：

Quasi graphs; Quasi graphs of groups; Quasi HNN groups; Fundamental groups of quasi graphs of groups;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A graph is called a quasi graph if the possibility of an edge of the graph being equal to its inverse is not excluded. Quasi HNN groups are a new generalizations of HNN groups. In this paper we introduce the concepts of a quasi graph of groups and its fundamental group, and show that the fundamental group of a quasi graph of groups is a quasi HNN group. The embedding theorem for the fundamental group of a quasi graph of groups is formulated and proved. Furthermore, we find the structures of groups induced by the vertices of a quasi graph of groups.

引用

页码：137 / 149

页数：13

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