Essential dimension of projective orthogonal and symplectic groups of small degree
Rings and Algebras
2011-11-22 v1
Abstract
In this paper, we study the essential dimension of classes of central simple algebras with involutions of index less or equal to 4. Using structural theorems for simple algebras with involutions, we obtain the essential dimension of projective and symplectic groups of small degree.
Keywords
Cite
@article{arxiv.1111.4697,
title = {Essential dimension of projective orthogonal and symplectic groups of small degree},
author = {Sanghoon Baek},
journal= {arXiv preprint arXiv:1111.4697},
year = {2011}
}