Finding intersections and normalizers in finitely generated nilpotent groups
type: Item
instance of: scholarly article
title: Finding intersections and normalizers in finitely generated nilpotent groups
zbMATH Open document ID: 0930.20038
author: Eddie H. Lo
published in: Journal of Symbolic Computation
publication date: 1999-02-15T00:00:00Z
review text: Practical algorithms to compute intersections and normalizers of subgroups in finitely generated nilpotent groups from nilpotent presentations are developed. These ideas are extended to give practical algorithms to determine membership in products of subgroups and to determine conjugacy of subgroups. A test for nilpotency is also described for polycyclic groups. A prototype Mathematica program has been written to test the efficiency of some of the algorithms described here. The results are tabulated in the last section.
Mathematics Subject Classification ID: 20F18
Mathematics Subject Classification ID: 20-04
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 1136611
zbMATH Keywords: intersections of subgroups
zbMATH Keywords: normalizers
zbMATH Keywords: finitely generated nilpotent groups
zbMATH Keywords: nilpotent presentations
zbMATH Keywords: products of subgroups
zbMATH Keywords: conjugacy of subgroups
zbMATH Keywords: polycyclic groups
zbMATH Keywords: efficiency
zbMATH Keywords: algorithms
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: jsco.1997.0166
OpenAlex ID: W2056211288
DOI: 10.1006/JSCO.1997.0166
Recommended article: Q4396576
Recommended article: On intersections of certain nilpotent subgroups in finite groups
Recommended article: On the Intersection of the Normalizers of the Nilpotent Residuals of All Subgroups of a Finite Group
Recommended article: Q5412870
Recommended article: Q5185077
Recommended article: Q3901687
Recommended article: On the intersection of the normalizers of derived subgroups of all subgroups of a finite group.
Recommended article: Q4815587
Recommended article: Intersections of nilpotent subgroups in finite groups with sporadic socle
Recommended article: On intersections of abelian and nilpotent subgroups in finite groups. I
description: scientific article; zbMATH DE number 1136611