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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

2 votes

Uniform lattice in semidirect product

I'm a bit late to the party, but just want to remark that the reference given by YCor (Corollary 8.28 in Raghunathan) is actually known to be incorrect. Counterexamples are known, first due to Starkov …
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