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A Fitting Theorem for Simple Theories
- Source :
- Bulletin of the London Mathematical Society, Bulletin of the London Mathematical Society, London Mathematical Society, 2016
- Publication Year :
- 2014
- Publisher :
- arXiv, 2014.
-
Abstract
- International audience; 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.
- Subjects :
- Pure mathematics
Index (economics)
General Mathematics
03C45
20F18
20F24
20F12
20F19
Group Theory (math.GR)
01 natural sciences
Fitting subgroup
[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]
Mathematics::Group Theory
Simple (abstract algebra)
0103 physical sciences
nilpotent
FOS: Mathematics
group
0101 mathematics
Mathematics
Group (mathematics)
010102 general mathematics
Mathematics - Logic
Nilpotent
[MATH.MATH-LO]Mathematics [math]/Logic [math.LO]
Bounded function
010307 mathematical physics
simple theory
Logic (math.LO)
Mathematics - Group Theory
Subjects
Details
- ISSN :
- 00246093 and 14692120
- Database :
- OpenAIRE
- Journal :
- Bulletin of the London Mathematical Society, Bulletin of the London Mathematical Society, London Mathematical Society, 2016
- Accession number :
- edsair.doi.dedup.....2ed2c71c4631a0286de30b563b4f479a
- Full Text :
- https://doi.org/10.48550/arxiv.1410.2583