arXiv Analytics

Sign in

arXiv:1410.2583 [math.LO]AbstractReferencesReviewsResources

A Fitting Theorem for Simple Theories

Daniel Palacin, Frank Olaf Wagner

Published 2014-10-09Version 1

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.

Categories: math.LO, math.GR
Related articles: Most relevant | Search more
arXiv:1406.4384 [math.LO] (Published 2014-06-17)
Decidable fragments of the Simple Theory of Types with Infinity and NF
arXiv:math/0406543 [math.LO] (Published 2004-06-26)
The Geometry of Linear Regular Types
arXiv:1104.0290 [math.LO] (Published 2011-04-02)
On properties of (weakly) small groups

Links

Toolbox