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- W2951586044 abstract "In this work, we give two characterisations of the general linear group as a group $G$ of finite Morley rank acting on an abelian connected group $V$ of finite Morley rank definably, faithfully and irreducibly. To be more precise, we prove that if the pseudoreflection rank of $G$ is equal to the Morley rank of $V$, then $V$ has a vector space structure over an algebraically closed field, $Gcong GL(V)$ and the action is the natural action. The same result holds also under the assumption of Prufer 2-rank of $G$ being equal to the Morley rank of $V$." @default.
- W2951586044 created "2019-06-27" @default.
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- W2951586044 date "2011-12-16" @default.
- W2951586044 modified "2023-09-27" @default.
- W2951586044 title "Groups of Finite Morley Rank with a Pseudoreflection Action" @default.
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