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

Part of: Special aspects of infinite or finite groups Group theory and generalizations

Published online by Cambridge University Press:  01 August 2010

René Hartung
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.

MSC classification

Secondary: 20-04: Explicit machine computation and programs (not the theory of computation or programming) 20F05: Generators, relations, and presentations 20F14: Derived series, central series, and generalizations
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 13 , January 2010 , pp. 260 - 271
Copyright
Copyright © London Mathematical Society 2010

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