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- W4381544504 abstract "This paper develops some general results about actions of finite groups on (infinite) abelian groups in the finite Morley rank category. They are linked to a range of problems on groups of finite Morley rank discussed in [16]. Crucially, these results are needed for the forthcoming work by Ayc{s}e Berkman and myself [5] where we remove the `sharpness' assumption from [4]. Also, they yield a proof of the long standing conjecture of linearity of irreducible definable actions of simple algebraic groups on elementary abelian $p$-groups of finite Morley rank [16, Conjecture 12]." @default.
- W4381544504 created "2023-06-22" @default.
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- W4381544504 date "2020-08-02" @default.
- W4381544504 modified "2023-10-18" @default.
- W4381544504 title "Finite group actions on abelian groups of finite Morley rank" @default.
- W4381544504 doi "https://doi.org/10.48550/arxiv.2008.00604" @default.
- W4381544504 hasPublicationYear "2020" @default.
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