Finite Groups and Lie Rings with an Automorphism of Order 2n

DOI10.1017/S0013091516000225zbMath1428.20027arXiv1409.7807WikidataQ115336657 ScholiaQ115336657MaRDI QIDQ2989993

Eugenii I. Khukhro, P. V. Shumyatskij, Natalia Yu. Makarenko

Publication date: 9 June 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7807

zbMATH Keywords

automorphismLie ringfinite groupnilpotency classderived lengthFitting height

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Associated Lie structures for groups (20F40)

Related Items (1)

Locally finite groups containing a \(2\)-element with Chernikov centralizer.

Cites Work

• Unnamed Item
• Fitting height of groups and of fixed points
• A general Brauer-Fowler theorem and centralizers in locally finite groups
• Groups with regular automorphisms of order four
• Locally finite groups containing a \(2\)-element with Chernikov centralizer.
• On characters and fixed points of coprime operator groups
• On almost regular automorphisms of finite \(p\)-groups
• On almost fixed point free automorphisms
• Almost solubility of Lie algebras with almost regular automorphisms
• Finite groups admitting a fixed-point-free automorphism group
• Large and symmetric: the Khukhro-Makarenko theorem on laws -- without laws.
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Finite groups with an almost regular automorphism of order four
• A short proof of the Khukhro-Makarenko theorem on large characteristic subgroups with laws
• Automorphism invariance and identities
• Finite soluble groups admitting an automorphism of prime power order with few fixed points
• LIE RINGS AND LIE GROUPS ADMITTING AN ALMOST REGULAR AUTOMORPHISM OF PRIME ORDER
• A NOTE ON NILPOTENT-BY-ERNIKOV GROUPS
• FINITE $ p$-GROUPS ADMITTING $ p$-AUTOMORPHISMS WITH FEW FIXED POINTS
• p -Divided Lie Rings and p -Groups
• On the class of certain nilpotent groups
• Automorphisms of solvable groups

This page was built for publication: Finite Groups and Lie Rings with an Automorphism of Order 2ⁿ