On the euler characteristic of definable groups

Edmundo, Mário Jorge

http://hdl.handle.net/10400.2/2761

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Authors

Edmundo, Mário Jorge

Abstract(s)

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.

Keywords

O-minimal structures Definable groups

URI

http://hdl.handle.net/10400.2/2761

Citation

Edmundo, Mário Jorge - On the euler characteristic of definable groups. "Mathematical Logic Quarterly" [Em linha]. ISSN 1521-3870 (Print) 0942-5616 (Online). Vol. 57, Nº 1 (Fev. 2011), p. 3-5