Hopficity of negatively curved polygonal amalgams of finite groups
type: Item
instance of: scholarly article
title: Hopficity of negatively curved polygonal amalgams of finite groups
zbMATH Open document ID: 0812.20011
DOI: 10.1016/0022-4049(94)90014-0
author: John Meier
published in: Journal of Pure and Applied Algebra
publication date: 1994-09-27T00:00:00Z
review text: A polygonal amalgam of groups is the direct limit of polygonal diagrams of groups satisfying some natural conditions. This construction is the 2- dimensional analog of amalgamated free products. In a previous paper the author studied the automorphism structure of certain negatively curved polygonal amalgams. Here he extends the tools of that paper to study endomorphisms of negatively curved polygonal amalgams of finite groups. In particular he shows such groups are Hopfian.
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 20E36
Mathematics Subject Classification ID: 20E26
Mathematics Subject Classification ID: 20F06
zbMATH DE Number: 626262
zbMATH Keywords: polygonal amalgam of groups
zbMATH Keywords: direct limit
zbMATH Keywords: polygonal diagrams of groups
zbMATH Keywords: amalgamated free products
zbMATH Keywords: automorphism
zbMATH Keywords: negatively curved polygonal amalgams
zbMATH Keywords: endomorphisms
MaRDI profile type: Publication
full work available at URL: 0022-4049(94)90014-0
OpenAlex ID: W2081248528
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cites work: Automorphisms of negatively curved polygonal amalgams
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description: scientific article; zbMATH DE number 626262