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A remark on strict radical classes of groups

✍ Scribed by B. J. Gardner

Publisher
Akadmiai Kiad
Year
1981
Tongue
English
Weight
63 KB
Volume
38
Category
Article
ISSN
1588-2632

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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