Gröbner bases for p-group algebras

Mathematics – Group Theory

Scientific paper

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Not intended for publication. Dates from 1999

Scientific paper

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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