On periodic groups with a regular automorphism of order 4

DOI10.1134/S0081543821030196OpenAlexW3184722450MaRDI QIDQ2043635

Yanyan Li

Publication date: 3 August 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821030196

zbMATH Keywords

solvabilitynilpotencylocal finitenessperiodic groupregular (fixed-point-free) automorphism

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Topological groups, Lie groups (22-XX)

Cites Work

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• Groups with automorphisms that leave only the neutral element fixed
• Groups with regular automorphisms of order four
• Some remarks on Cernikov \(p\)-groups
• On infinite centralizers of groups
• On regular automorphisms of order \(3\) and Frobenius pairs
• On periodic groups with an almost regular involution
• Finite groups admitting a fixed-point-free automorphism of order 2 p
• Finite groups admitting a fixed-point-free automorphism of order 2 p. II
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Finite Groups Admitting a Fixed-Point-Free Automorphism of Order 4
• Note on groups with involutions

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