Everett C. Dade
American mathematician
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 ISBN 978-0-521-23440-5 Dade, Everett C. (1964), "Lifting group characters", Annals of Mathematics 79 (3): 590–596, doi :10.2307/1970409 , ISSN 0003-486X , JSTOR 1970409 , MR 0160813 Feit, Walter (1967), Characters of finite groups 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 Cambridge University Press , doi :10.1017/CBO9780511565861 , ISBN 978-0-521-64660-4 MR 1747393 Citations
External links
International National Academics People
