Efficient characteristic refinements for finite groups

DOI10.1016/j.jsc.2016.07.007zbMath1359.20025arXiv1607.01344OpenAlexW2964056251MaRDI QIDQ346563

Joshua Maglione

Publication date: 29 November 2016

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01344

zbMATH Keywords

Lie algebrasisomorphism\(p\)-groupsfilters

Mathematics Subject Classification ID

Analysis of algorithms (68W40) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04) Associated Lie structures for groups (20F40)

Related Items (5)

Filters compatible with isomorphism testing ⋮ Most small \(p\)-groups have an automorphism of order 2 ⋮ New Lie products for groups and their automorphisms ⋮ Enumerating isoclinism classes of semi-extraspecial groups ⋮ Testing isomorphism of graded algebras

Uses Software

• Magma

Cites Work

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• Collection from the left and other strategies
• The Magma algebra system. I: The user language
• Automorphism group computation and isomorphism testing in finite groups
• Longer nilpotent series for classical unipotent subgroups
• Symbolic Collection using Deep Thought
• CONSTRUCTING AUTOMORPHISM GROUPS OF p-GROUPS
• More characteristic subgroups, Lie rings, and isomorphism tests for p-groups

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