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.

References in corpus (1)

• Amenability via random walks

Cited by in corpus (2)

• Refined solvable presentations for polycyclic groups
• Investigating self-similar groups using their finite $L$-presentation