Recursively presented two generated infinite p-groups
type: Item
instance of: scholarly article
title: Recursively presented two generated infinite p-groups
zbMATH Open document ID: 0553.20015
DOI: 10.1007/BF01163875
author: Narain Gupta
published in: Mathematische Zeitschrift
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173521
review text: This paper addresses the presentation problem for p-groups of a type constructed by \textit{S. Sidki} and the author in recent work: see the basic paper [Contemp. Math. 33, 232-246 (1984; reviewed below)]. An explicit construction, free of tree automorphisms, is given for a 2- generated infinite p-group (p an odd prime) and it is proved that the group is recursively but not finitely presentable. Brief mention is also made of the case \(p=2\). The reviewer would have appreciated a little more detail on the links with the previous work.
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20F10
zbMATH DE Number: 3880929
zbMATH Keywords: presentation
zbMATH Keywords: p-groups
zbMATH Keywords: 2-generated infinite p-group
reviewed by: D. J. McCaughan
MaRDI profile type: Publication
cites work: On the Burnside problem for periodic groups
cites work: Q3346483
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description: scientific article; zbMATH DE number 3880929