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Preprint Number 267
267. Mário Edmundo
On the Euler characteristic of definable groups.
Submission date: 4 August 2010.
We show that in an arbitrary o-minimal structure the following are equivalent: (i) conjugates of a definable subgroup of a definably connected, definably compact definable group cover the group if the o-minimal Euler characteristic of the quotient is non zero; (ii) every infinite, definably connected, definably compact definable group has a non trivial torsion point.
Mathematics Subject Classification: 03C64, 55N30.
Keywords and phrases: O-minimal structures, definable groups.
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