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Sep 26, 2014 at 12:53 comment added Alessandro @tomasz In "Euler characteristic in semialgebraic and other o-minimal groups", Strzebonski proves that the (o-minimal) euler characteristic of a semialgebraic group plays the role of the cardinality of a finite group, so I was wondering how similar real algebraic groups are to finite groups and what first order property of finite groups fails for a generic real algebraic group.
Sep 26, 2014 at 1:33 comment added tomasz Do you have any reasons to suspect the two might be related in any interesting way? For a trivial example, any finite (e.g. trivial) group is isomorphic to a real algebraic group and pseudofinite. On the other hand, I think most likely a "generic" real algebraic group is not pseudo-finite.
Sep 25, 2014 at 22:15 review First posts
Sep 25, 2014 at 22:25
Sep 25, 2014 at 22:15 history asked Alessandro CC BY-SA 3.0