Groups in simple theories
群论
2008-02-03 v1 逻辑
摘要
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.
引用
@article{arxiv.math/9704233,
title = {Groups in simple theories},
author = {Frank Wagner},
journal= {arXiv preprint arXiv:math/9704233},
year = {2008}
}