A sufficient condition for the second derived factor group to be finite

This paper concerns an application of an algorithm for the second derived factor group as described by Howse and Johnson in [3]. This algorithm has as its basis theFox derivative (see [1]), a mapping from the free group F to the group-ring ℤF, definedas follows: let X be a set of generators of a gro...

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Bibliographic Details
Published in:Proceedings of the Edinburgh Mathematical Society 1987-02, Vol.30 (1), p.83-89
Main Author: Howse, J. R.
Format: Article
Language:English
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Summary:This paper concerns an application of an algorithm for the second derived factor group as described by Howse and Johnson in [3]. This algorithm has as its basis theFox derivative (see [1]), a mapping from the free group F to the group-ring ℤF, definedas follows: let X be a set of generators of a group G, and let w = y1…yk with each yi∈X±1.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091500017995