parallel computations in modular group algebras
We report about the parallelisation of the algorithm to compute the normalised unit group V (F p G ) of a modular group algebra F p G of a finite p -group G over the field of p elements F p 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 (F p G ) for groups of orders 2 9 and 3 6 .
group algebra unit group remote procedure call scscp openmath