Geodesic
Essential 𝑝-dimension of 𝐏𝐆𝐋(𝐩²)
Merkurjev, Alexander 1
1 Department of Mathematics, University of California, Los Angeles, California 90095-1555
Journal of the American Mathematical Society, Tome 23 (2010) no. 3, pp. 693-712 Cet article a éte moissonné depuis la source American Mathematical Society

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Let $p$ be a prime integer and $F$ a field of characteristic different from $p$. We prove that the essential $p$-dimension of the group $\operatorname {\mathbf {PGL}}_F(p^2)$ is equal to $p^2+1$. This integer measures the complexity of the class of central simple algebras of degree $p^2$ over field extensions of $F$.
DOI : 10.1090/S0894-0347-10-00661-2

Merkurjev, Alexander  1

1 Department of Mathematics, University of California, Los Angeles, California 90095-1555 
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Merkurjev, Alexander. Essential 𝑝-dimension of 𝐏𝐆𝐋(𝐩²). Journal of the American Mathematical Society, Tome 23 (2010) no. 3, pp. 693-712. doi: 10.1090/S0894-0347-10-00661-2

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