Sets preserved by a large subgroup of the special linear group
Abstract
Abstract Let be a subset of the affine plane over a finite field . We bound the size of the subgroup of that preserves . Specifically, there exists a constant such that for any , if is preserved by more than elements of , then is contained in a line through the origin. This result is sharp in general, and will be proved by using combinatorial arguments and applying a point‐line incidence bound in due to Mockenhaupt and Tao (2004).
Fields of Study & Subjects
Finite Group Theory Research
Advanced Combinatorial Mathematics
Limits and Structures in Graph Theory
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 2
- Publication date
- 1 February 2026
- Language
- EN