Essential dimension of projective orthogonal and symplectic groups of small degree

Details Essential dimension of projective orthogonal and symplectic groups of small degree Essential dimension of projective orthogonal and symplectic groups of small degree

2011-11-20

arxiv.org/abs/1111.4697v1

Mathematics

Rings and Algebras

Scientific paper

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.

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