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A remark on K0 of crystallographic groups

✍ Scribed by F.Thomas Farrell

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
134 KB
Volume
26
Category
Article
ISSN
0166-8641

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We show that if G is a definably compact, definably connected definable group defined in an arbitrary o-minimal structure, then G is divisible. Furthermore, if G is defined in an o-minimal expansion of a field, k ∈ N and p k : G -β†’ G is the definable map given by p k (x) = x k for all x ∈ G, then we