Vol. 16, No. 3, 1966

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Visualizing the word problem, with an application to sixth groups

Carl Weinbaum

Vol. 16 (1966), No. 3, 557–578
Abstract

The word problem in certain groups is studied in algebraic terms with a geometric background. A relator is made to correspond to a plane complex so that generators are associated with 1-cells and defining relators are associated with 2-cells of the complex. In the case of less-than-one-sixth groups, the results obtained are essentially those found by Greendlinger.

Mathematical Subject Classification
Primary: 20.10
Milestones
Received: 12 October 1964
Published: 1 March 1966
Authors
Carl Weinbaum