Name Everett Dade Fields Mathematics | Alma mater Princeton University Spouse Catherine Doleans-Dade | |
Institutions University of Illinois at Urbana–Champaign Thesis Multiplicity and Monoidal Transformations (1960) Known for Dade isometry, Dade conjecture Institution University of Illinois at Urbana–Champaign | ||
Doctoral advisor O. Timothy O'Meara | ||
Everett Clarence Dade is a mathematician at University of Illinois at Urbana–Champaign working on finite groups and representation theory, who introduced the Dade isometry and Dade's conjecture.
Work
The Dade isometry is an isometry from class functions on a subgroup H with support on a subset K of H to class functions on a group G (Collins 1990, 6.1). It was introduced by Dade (1964) as a generalization and simplification of an isometry used by Feit & Thompson (1963) in their proof of the odd order theorem, and was used by Peterfalvi (2000) in his revision of the character theory of the odd order theorem.
Dade's conjecture is a conjecture relating the numbers of characters of blocks of a finite group to the numbers of characters of blocks of local subgroups.