Publications > Preprint server > Preprint Number 785
Preprint Number 785
785. Daniel Palacin, Frank Olaf Wagner (ICJ)
A Fitting Theorem for Simple Theories
Submission date: 9 October 2014.
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.
Mathematics Subject Classification:
Keywords and phrases:
|Last updated: March 23 2021 10:23||Please send your corrections to:|