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

  title={Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients},
  author={Ren{\'e} Hartung},
  journal={Lms Journal of Computation and Mathematics},
  • René Hartung
  • Published 1 December 2010
  • Mathematics
  • Lms Journal of Computation and Mathematics
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. 

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