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

Published online by Cambridge University Press:  20 January 2009

J. R. Howse
J. R. Howse
Affiliation:
Mid-Kent CollegeChatham, ME5 9UQ, England
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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 1 , February 1987 , pp. 83 - 89
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

REFERENCES

1.Fox, R. H., Free differential calculus 1, Ann. of Math. 57 (1953), 547–560.CrossRefGoogle Scholar
2.Howse, J. R., An algorithm for the second derived factor group (Ph.D. thesis, University of Nottingham, 1984).Google Scholar
3.Howse, J. R. and Johnson, D. L., An algorithm for the second derived factor group, in: Groups–St Andrews 1981, LondonMath. Soc. Lecture Note Series 71 (1982), 237–243.CrossRefGoogle Scholar
4.Muir, T., A treatise on the theory of determinants (Dover Publications, New York, 1960).Google Scholar