Groups of finite Morley rank with a generically multiply transitive action on an abelian group

DOI10.2140/mt.2022.1.1arXiv2107.09997OpenAlexW4286381466MaRDI QIDQ6156870

Ayşe Berkman, Alexandre V. Borovik

Publication date: 19 June 2023

Published in: Model Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.09997

zbMATH Keywords

groups of finite Morley rankgenerically transitive actions

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Groups of finite Morley rank (20F11)

Related Items (1)

Actions of 𝐴𝑙𝑡(𝑛) on groups of finite Morley rank without involutions

Cites Work

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• Recognizing \(\mathrm{PGL}_3\) via generic 4-transitivity
• Groups of finite Morley rank with a generically sharply multiply transitive action
• Groups of finite Morley rank with a pseudoreflection action.
• Involutions in groups of finite Morley rank of degenerate type.
• RANK 3 BINGO
• Actions of Groups of Finite Morley Rank on Small Abelian Groups
• Toward the recognition of PGL_n via a high degree of generic transitivity
• Simple groups of Morley rank 3 are algebraic

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