Efficient characteristic refinements for finite groups

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• 作者：Joshua Maglione ^{maglione@math.colostate.edu}
• 关键词：p-Groups ; Isomorphism ; Lie algebras ; Filters
• 刊名：Journal of Symbolic Computation
• 出版年：2017
• 出版时间：May-June 2017
• 年：2017
• 卷：80
• 期：part_P2
• 页码：511-520
• 全文大小：451 K
• 卷排序：80

文摘

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 p-groups.