Nikita A. Karpenko and Alexander S. Merkurjev: Canonical p-dimension of algebraic groups,

Submission: 2004, Dec 9

We describe a way to compute the $p$-relative version of the Berhuy-Reichstein canonical dimension for an arbitrary split semisimple algebraic group over an arbitrary field of an arbitrary characteristic ($p$ is any prime integer). The canonical $p$-dimension is computed for all split simple groups of classical types.

2000 Mathematics Subject Classification: 14L17, 14C25

Keywords and Phrases: Algebraic groups, torsors, splitting fields, projective homogeneous varieties, Chow groups

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