Everett C. 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.

Everett C. Dade
Alma materPrinceton University
Known forDade isometry, Dade conjecture
Spouse(s)Catherine Doléans-Dade
Scientific career
FieldsMathematics
InstitutionsUniversity of Illinois at Urbana–Champaign
ThesisMultiplicity and Monoidal Transformations (1960)
Doctoral advisorO. Timothy O'Meara

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 (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, 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, 272, Cambridge University Press, doi:10.1017/CBO9780511565861, ISBN 978-0-521-64660-4, MR 1747393
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.