A nilpotent quotient algorithm for L-presented groups

Details A nilpotent quotient algorithm for L-presented groups A nilpotent quotient algorithm for L-presented groups

2007-06-21

arxiv.org/abs/0706.3131v2

Internat. J. Algebra Comput. 18 (2008), no. 8, 1321--1344

Mathematics

Group Theory

Scientific paper

10.1142/S0218196708004871

The main part of this paper contains a description of a nilpotent quotient algorithm for L-presented groups and a report on applications of its implementation in the computer algebra system GAP. The appendix introduces two new infinite series of L-presented groups. Apart from being of interest in their own right, these new L-presented groups serve as examples for applications of the nilpotent quotient algorithm.

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