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. While an undergraduate at Harvard University, he became a Putnam Fellow twice, in 1955 and 1957.[1]
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
Sources
Collins, Michael J. (22 March 1990), Representations and Characters of Finite Groups, Cambridge University Press, ISBN 978-0-521-23440-5
Dade, Everett C. (1964), "Lifting group characters", Annals of Mathematics, Second Series, 79 (3): 590–596, doi:10.2307/1970409, ISSN 0003-486X, JSTOR 1970409, MR 0160813
Feit, Walter (1967), Characters of finite groups, W. A. Benjamin, Inc., New York-Amsterdam, ISBN 9780805324341, MR 0219636
Feit, Walter; Thompson, John G. (1963), "Solvability of groups of odd order", Pacific Journal of Mathematics, 13: 775–1029, doi:10.2140/pjm.1963.13.775, ISSN 0030-8730, MR 0166261
Peterfalvi, Thomas (2000), Character theory for the odd order theorem, London Mathematical Society Lecture Note Series, vol. 272, Cambridge University Press, doi:10.1017/CBO9780511565861, ISBN 978-0-521-64660-4, MR 1747393
Citations
"Putnam Competition Individual and Team Winners". Mathematical Association of America. Retrieved December 10, 2021.
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