New Lie products for groups and their automorphisms

DOI10.1515/jgth-2020-0121zbMath1482.20022arXiv1501.04670OpenAlexW3125531700WikidataQ115236128 ScholiaQ115236128MaRDI QIDQ2037527

James B. Wilson

Publication date: 8 July 2021

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04670

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Graded rings and modules (associative rings and algebras) (16W50) Derived series, central series, and generalizations for groups (20F14) Associated Lie structures for groups (20F40) Computational methods for problems pertaining to group theory (20-08)

Uses Software

• TensorSpace

Cites Work

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• Efficient characteristic refinements for finite groups
• The construction of finite solvable groups revisited.
• Most small \(p\)-groups have an automorphism of order 2
• Nilpotent groups and their automorphisms
• On nonsingular tensors and related projective planes
• Longer nilpotent series for classical unipotent subgroups
• Finite semifields and projective planes
• On automorphisms of groups, rings, and algebras
• Testing isomorphism of graded algebras
• More characteristic subgroups, Lie rings, and isomorphism tests for p-groups

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