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- W4288365544 abstract "We establish a surprising correspondence between groups definable in o-minimal structures and linear algebraic groups, in the nilpotent case. It turns out that in the o-minimal context, like for finite groups, nilpotency is equivalent to the normalizer property or to uniqueness of Sylow subgroups. As a consequence, we show algebraic decompositions of o-minimal nilpotent groups, and we prove that a nilpotent Lie group is definable in an o-minimal expansion of the reals if and only if it is a linear algebraic group." @default.
- W4288365544 created "2022-07-29" @default.
- W4288365544 creator A5082569879 @default.
- W4288365544 date "2019-04-22" @default.
- W4288365544 modified "2023-09-27" @default.
- W4288365544 title "Nilpotent groups, o-minimal Euler characteristic, and linear algebraic groups" @default.
- W4288365544 doi "https://doi.org/10.48550/arxiv.1904.09738" @default.
- W4288365544 hasPublicationYear "2019" @default.
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