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Preprint Number 125

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125. Eric Jaligot
Cosets and genericity
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Submission date: 16 June 2008.

Abstract:

In a connected group of finite Morley rank in which the generic element belongs to a connected nilpotent subgroup, proper normalizing cosets of definable subgroups are not generous. We explain why this is true and what consequences this has on an abstract theory of Weyl groups in groups of finite Morley rank.

Mathematics Subject Classification: 03C45

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