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Powers of Genus two in Free Groups

Published online by Cambridge University Press:  20 November 2018

Charles C. Edmunds  and
Gerhard Rosenberger
Charles C. Edmunds
Affiliation:
Department of Mathematics Mount Saint Vincent University Halifax, Nova Scotia Canada B3M 2J6
Gerhard Rosenberger
Affiliation:
Fachbereich Mathematik Universität Dortmund Postfach 50 05 00 4600 Dortmund 50 Fed. Rep. of Germany
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Abstract

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The general problem is to express an element of the derived group of a free group as a product of a minimal number of commutators. An old conjecture is settled in the negative, and a new conjecture and a number of related questions are posed.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 3 , 01 September 1990 , pp. 342 - 344
Copyright
Copyright © Canadian Mathematical Society 1990

References

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