Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



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

Author: Derek J. S. Robinson
Journal: Proc. Amer. Math. Soc. 130 (2002), 3461-3464
MSC (2000): Primary 20F10, 20F16
Published electronically: April 22, 2002
MathSciNet review: 1918821
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Abstract: 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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Derek J. S. Robinson
Affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, Illinois 61801

Received by editor(s): May 29, 2001
Received by editor(s) in revised form: July 5, 2001
Published electronically: April 22, 2002
Communicated by: Steven D. Smith
Article copyright: © Copyright 2002 American Mathematical Society