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Gröbner bases for p-group algebras

2009/10/09 by David J. Green, Green, David J.
Mathematics · #16Z05 #20-04 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:16Z05 #msc:20-04

paper · pdf · doi:10.48550/arxiv.0910.1699

Not intended for publication. Dates from 1999

arxiv created 2009/10/09 · arxiv updated 2009/12/01

Abstract

Experiment shows that the reverse length-lexicographical word ordering consistently yields far smaller Gröbner bases for modular p-group algebras than the length-lexicographical ordering. For the so-called Jennings word ordering, based on a special power-conjugate group presentation, the associated monomial algebra is a group invariant.

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