English

Efficient characteristic refinements for finite groups

Group Theory 2016-07-06 v1

Abstract

Filters were introduced by J.B. Wilson in 2013 to generalize work of Lazard with associated graded Lie rings. It holds promise in improving isomorphism tests, but the formulas introduced then were impractical for computation. Here, we provide an efficient algorithm for these formulas, and we demonstrate their usefulness on several examples of pp-groups.

Keywords

Cite

@article{arxiv.1607.01344,
  title  = {Efficient characteristic refinements for finite groups},
  author = {Joshua Maglione},
  journal= {arXiv preprint arXiv:1607.01344},
  year   = {2016}
}

Comments

11 pages, 4 figures

R2 v1 2026-06-22T14:45:52.272Z