The structure of locally finite groups of finite c-dimension

DOI10.1142/S0219498819502232zbMath1442.20026arXiv1805.00910OpenAlexW2902342538WikidataQ128840112 ScholiaQ128840112MaRDI QIDQ5206053

Aleksandr Aleksandrovich Buturlakin

Publication date: 17 December 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00910

zbMATH Keywords

locally finite groups\(c\)-dimensionminimal condition on centralizerscentralizer dimensionlocally soluble radical

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (1)

A note on pseudofinite groups of finite centraliser dimension

Cites Work

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• Locally finite groups with bounded centralizer chains.
• The classification of the simple periodic linear groups
• Groups with the minimal condition on centralizers
• Periodic locally soluble groups with the minimal condition on centralizers
• Groups with bounded centralizer chains and the Borovik-Khukhro conjecture
• Locally finite groups of finite centralizer dimension
• Centraliser dimension and universal classes of groups.
• Strong finiteness conditions in locally finite groups
• MONOMORPHISMS AND DIRECT LIMITS OF FINITE GROUPS OF LIE TYPE
• Infinite Algebraic Extensions of Finite Fields
• Discriminating groups and c-dimension
• ON SOLUBILITY OF GROUPS WITH BOUNDED CENTRALIZER CHAINS

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