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On commutator laws in groups, 3

Part of: Algebraic structures Foundations

Published online by Cambridge University Press:  09 April 2009

I. D. Macdonald  and
B. H. Neumann
I. D. Macdonald
Affiliation:
“Tiree”, 10 Middleton, Menstrie, Clackmannanshire, FK11 7HA, Scotland
B. H. Neumann
Affiliation:
School of Mathematical Sciences, Australian National University, ACT 0200, Australia
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Abstract

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In this final contribution to the investigation of commutator laws in groups, we answer some of the questions left open in the previous two papers. The principal result is the independence of the Jacobi-Witt-Hall type laws from the so-called standard set of laws. The main results of the earlier papers are summarised. An interlude corrects some of the numerous printing errors in the second of our papers.

MSC classification

Secondary: 20A05: Axiomatics and elementary properties 08A99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 58 , Issue 1 , February 1995 , pp. 126 - 133
Copyright
Copyright © Australian Mathematical Society 1995

References

[1]Macdonald, I. D. and Neumann, B. H., ‘On commutator laws in groups’, J. Austral. Math. Soc.(Series A) 43 (1988), 95–103.CrossRefGoogle Scholar
[2]Macdonald, I. D. and Neumann, B. H., ‘On commutator laws in groups, 2’, Contemp. Math. 109 (1990), 113–129.CrossRefGoogle Scholar