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Essential p-dimension of the normalizer of a maximal torus

Research output: Contribution to journalJournal article

Published

Journal publication date6/07/2011
JournalTransformation Groups
Journal number4
Volume16
Number of pages29
Pages1143-1171
Original languageEnglish

Abstract

We compute the exact value of the essential p-dimension of the normalizer of a split maximal torus for most simple connected linear algebraic groups. These values give new upper bounds on the essential p-dimension of some simple groups, including some exceptional groups. For each connected simple algebraic group, we also give an upper bound on the essential p-dimension of any torus contained in that group. These results are achieved by a detailed case-by-case analysis.