Groups in simple theories

Details Groups in simple theories Groups in simple theories

1997-04-25

arxiv.org/abs/math/9704233v1

Mathematics

Group Theory

Scientific paper

Groups definable in simple theories retain the chain conditions and
decomposition properties known from stable groups, up to commensurability. In
the small case, if a generic type of G is not foreign to some type q, there is
a q-internal quotient. In the supersimple case, the Berline-Lascar
decomposition works. One-based simple groups are finite-by-abelian-by-finite.

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