A Fitting Theorem for Simple Theories
Logic
2017-05-04 v3 Group Theory
Abstract
The Fitting subgroup of a type-definable group in a simple theory is relatively definable and nilpotent. Moreover, the Fitting subgroup of a supersimple hyperdefinable group has a normal hyperdefinable nilpotent subgroup of bounded index, and is itself of bounded index in a hyperdefinable subgroup.
Cite
@article{arxiv.1410.2583,
title = {A Fitting Theorem for Simple Theories},
author = {Daniel Palacin and Frank Olaf Wagner},
journal= {arXiv preprint arXiv:1410.2583},
year = {2017}
}