Everett C. Dade
| Everett C. Dade | |
|---|---|
| Fields | Mathematics |
| Institutions | University of Illinois at Urbana–Champaign |
| Alma mater | Princeton University |
| Thesis | Multiplicity and Monoidal Transformations (1960) |
| Doctoral advisor | O. Timothy O'Meara |
| Known for | Dade isometry, Dade conjecture |
| Spouse | Catherine Doléans-Dade |
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.
References
- Dade, Everett C. (1964), "Lifting group characters", Annals of Mathematics. Second Series 79: 590–596, ISSN 0003-486X, JSTOR 1970409, MR 0160813
- Feit, Walter (1967), Characters of finite groups, W. A. Benjamin, Inc., New York-Amsterdam, MR 0219636
- Feit, Walter; Thompson, John G. (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics 13: 775–1029, ISSN 0030-8730, MR 0166261
- Peterfalvi, Thomas (2000), Character theory for the odd order theorem, London Mathematical Society Lecture Note Series 272, Cambridge University Press, ISBN 978-0-521-64660-4, MR 1747393