DEFINABLY SIMPLE STABLE GROUPS WITH FINITARY GROUPS OF AUTOMORPHISMS

DOI10.1017/jsl.2019.29zbMath1444.03131arXiv1801.00576OpenAlexW2924431236WikidataQ128115099 ScholiaQ128115099MaRDI QIDQ5222531

Ulla Karhumäki

Publication date: 6 April 2020

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.00576

zbMATH Keywords

locally finite groupsFrobenius mapsstable groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Periodic groups; locally finite groups (20F50) Model-theoretic algebra (03C60) Simple groups (20E32) Automorphism groups of groups (20F28) Groups of finite Morley rank (20F11)

Related Items (2)

Small groups of finite Morley rank with a supertight automorphism ⋮ Locally finite groups of finite centralizer dimension

Cites Work

• The classification of the simple periodic linear groups
• Ultraproducts and Chevalley groups
• Covering numbers for Chevalley groups
• Diophantine geometry over groups. VIII: Stability.
• Locally finite groups of finite centralizer dimension
• Lectures on Chevalley Groups
• On groups and fields interpretable in torsion-free hyperbolic groups
• Groups of small Morley rank
• Группы и кольца, теория которых категорична
• Model Theory
• On Simple Pseudofinite Groups
• DEFINABLE SETS IN A HYPERBOLIC GROUP
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