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1996 Free quotients of finitely presented groups
Derek F. Holt, Sarah Rees
Experiment. Math. 5(1): 49-56 (1996).

Abstract

We describe a computational, heuristic approach to the problem of deciding whether or not a given finitely presented group has a free quotient of rank two or more. Our strategy is to construct a finite nilpotent quotient of the given group, to search for quotients that are free within a variety containing that quotient, and then lift to the original group. We give theoretical justification to our strategy, and describe successful computations with sections of the Picard group $\SL _2(\Z[i])$.

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Derek F. Holt. Sarah Rees. "Free quotients of finitely presented groups." Experiment. Math. 5 (1) 49 - 56, 1996.

Information

Published: 1996
First available in Project Euclid: 13 March 2003

zbMATH: 0867.20030
MathSciNet: MR1412954

Subjects:
Primary: 20G35
Secondary: 20E05

Rights: Copyright © 1996 A K Peters, Ltd.

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Vol.5 • No. 1 • 1996
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