A. Merkurjev: Essential $p$-dimension of $\gPGL(p^2)$


Submission: 2008, Nov 23

Let p be a prime integer and let F be a field of characteristic different from p. We prove that the essential p-dimension of the projective linear group PGL_F(p^2) is equal to p^2+1.

2000 Mathematics Subject Classification: 20G15; 14C35

Keywords and Phrases: Essential dimension, simple algebras

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