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arxiv: 0910.1699 · v1 · submitted 2009-10-09 · 🧮 math.GR

Gr\"obner bases for p-group algebras

classification 🧮 math.GR
keywords orderingalgebrasbasesgrouplength-lexicographicalobnerp-groupword
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Experiment shows that the reverse length-lexicographical word ordering consistently yields far smaller Gr\"obner 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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