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arXiv · 1106.1098

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

Abstract

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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René Hartung. 2011-06-06. Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients. https://doi.org/10.1112/s1461157009000229

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