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

Published online by Cambridge University Press:  01 August 2010

René Hartung*
Affiliation:
Institute of Computational Mathematics, University of Braunschweig, Pockelsstraße 14, 38106 Braunschweig, Germany (email: [email protected])

Abstract

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

Type
Research Article
Copyright
Copyright © London Mathematical Society 2010

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