J Austral Math Soc Ser A 45 pp95--103, 1988.

On Commutator Laws in Groups

I. D. MacDonald and B. H. Neumann

Abstract

There are some well-known laws that the commutator satisfies in groups, and that go by some or all of the names Jacobi, Witt, Hall; and there are also some lesser-known laws. This is an attempt at an axiomatic study of the interdependence of these laws.

1980 AMS Subject Classification: primary 20A05; secondary 08A99

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Authors

I. D. MacDonald

Department of Mathematics, Lafayette College, Easton, Pennsylvania 18042, U.S.A.

B. H. Neumann

Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT 2601, Australia.

and

Division of Mathematics and Statistics, Commonwealth Scientific and Industrial Research Organization, Canberra, ACT 2601, Australia.