The essential dimension of the normalizer of a maximal torus in the projective linear group

DOI10.2140/ant.2009.3.467zbMath1222.11056arXiv0809.1688OpenAlexW2963043604WikidataQ117360736 ScholiaQ117360736MaRDI QIDQ2270644

Zinovy Reichstein, Aurel Meyer

Publication date: 28 July 2009

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1688

zbMATH Keywords

Galois cohomologycentral simple algebraessential dimensionfinite \(p\)-groupcharacter lattice

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Galois cohomology of linear algebraic groups (11E72)

Related Items (16)

Essential dimension of algebraic groups, including bad characteristic ⋮ Essential dimension: a survey ⋮ Unnamed Item ⋮ Pseudo-reflection groups and essential dimension ⋮ Hermite's theorem via Galois cohomology ⋮ Essential dimension of involutions and subalgebras ⋮ Modular functions and resolvent problems (with an appendix by Nate Harman) ⋮ Essential dimension ⋮ Essential \(p\)-dimension of the normalizer of a maximal torus. ⋮ Essential dimension of inseparable field extensions ⋮ Essential dimension of finite groups in prime characteristic ⋮ Essential \(p\)-dimension of \(\text{PGL}_n\). ⋮ An upper bound on the essential dimension of a central simple algebra. ⋮ Essential dimension of central simple algebras. ⋮ The essential dimension of congruence covers ⋮ Versality of algebraic group actions and rational points on twisted varieties

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