Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients

Details Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients

2011-06-06

arxiv.org/abs/1106.1098v1

LMS J. Comput. Math., 13:260--271, 2010

Mathematics

Group Theory

Scientific paper

10.1112/S1461157009000229

We describe an algorithm for computing successive quotients of the Schur multiplier $M(G)$ for a group $G$ given by an invariant finite $L$-presentation. As application, we investigate the Schur multipliers of various self-similar groups such as the Grigorchuk super-group, the generalized Fabrykowski-Gupta groups, the Basilica group and the Brunner-Sidki-Vieira group.

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