Parallel computations in modular group algebras

  • Authors:
  • A. Konovalov;S. Linton

  • Affiliations:
  • University of St Andrews;University of St Andrews

  • Venue:
  • Proceedings of the 4th International Workshop on Parallel and Symbolic Computation
  • Year:
  • 2010

Quantified Score

Hi-index 0.01

Visualization

Abstract

We report about the parallelisation of the algorithm to compute the normalised unit group V (FpG) of a modular group algebra FpG of a finite p-group G over the field of p elements Fp in the computational algebra system GAP. We present its distributed memory implementation using the new remote procedure call framework based on the the Symbolic Computation Software Composability Protocol (SCSCP). Using it, we were able for for the first time to perform practical computations of V (FpG) for groups of orders 29 and 36.