\'{E}tale difference algebraic groups
NSF| FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications ,
NSF| FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications ,
NSF| FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications ,
FWF| Galois groups of differential equations
Wibmer, Michael;
\'{E}tale difference algebraic groups
\'{E}tale difference algebraic groups are a difference analog of \'{e}tale algebraic groups. Our main result is a Jordan-H\"{o}lder type decomposition theorem for these groups. Roughly speaking, it shows that any \'{e}tale difference algebraic group can be build up from simple \'{e}tale algebraic groups and two finite \'{e}tale difference algebraic groups. The simple \'{e}tale algebraic groups occurring in this decomposition satisfy a certain uniqueness property.
Comment: 45 pages
- University of California, Berkeley United States
- CUNY Queens College United States
- University of Notre Dame United States
Mathematics - Algebraic Geometry, Mathematics - Dynamical Systems, Mathematics - Commutative Algebra, 14L15, 12H10, 37B05
Mathematics - Algebraic Geometry, Mathematics - Dynamical Systems, Mathematics - Commutative Algebra, 14L15, 12H10, 37B05
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NSF| FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications, NSF| FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications, NSF| FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications, FWF| Galois groups of differential equations