Derivations and the permutability of subgroups in polycyclic-by-finite groups

It is shown that there is an algorithm to decide if two given subgroups of a polycyclic-by-finite group permute. This is accomplished by finding an algorithm which is able to determine if a derivation is surjective.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2002-12, Vol.130 (12), p.3461-3464
Main Author: Robinson, Derek J. S.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Group theory
Group theory and generalizations
Logical proofs
Logical theorems
Mathematical theorems
Mathematics
Research article
Sciences and techniques of general use
Online Access:Get full text
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Description
Summary:It is shown that there is an algorithm to decide if two given subgroups of a polycyclic-by-finite group permute. This is accomplished by finding an algorithm which is able to determine if a derivation is surjective.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-02-06486-9