PRODUCTS OF COMMUTATORS AND PRODUCTS OF SQUARES IN A FREE GROUP-Reference-Cited by-同舟云学术

PRODUCTS OF COMMUTATORS AND PRODUCTS OF SQUARES IN A FREE GROUP

Published:1994-09 Issue:03 Volume:04 Page:469-480
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

COMERFORD LEO P.¹,EDMUNDS CHARLES C.²

Affiliation:

1. Department of Mathematics, Eastern Illinois University, Charleston, Illinois 61920, U.S.A.

2. Department of Mathematics, Mount Saint Vincent University, Halifax, Nova Scotia B3M 2J6, Canada

Abstract

A classification of the ways in which an element of a free group can be expressed as a product of commutators or as a product of squares is given. This is then applied to some particular classes of elements. Finally, a question about expressing a commutator as a product of squares is addressed.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196794000105

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