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Upper bounds for the essential dimension of E_7

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>2013
<mark>Journal</mark>Canadian Mathematical Bulletin
<mark>State</mark>Published
Early online date20/03/13
<mark>Original language</mark>English

Abstract

This paper gives a new upper bound for the essential dimension and the essential 2-dimension of the split simply connected group of type E7 over a field of characteristic not 2 or 3. In particular, ed(E7)≤29, and ed(E7;2)≤27.