Everett C. Dade
{{short description|American mathematician}}
{{Infobox scientist
| name = Everett C. Dade
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| fields = Mathematics
| workplaces = University of Illinois at Urbana–Champaign
| alma_mater = Harvard University, Princeton University
| thesis_title = Multiplicity and Monoidal Transformations
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| thesis_year = 1960
| doctoral_advisor = O. Timothy O'Meara
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| known_for = Dade isometry, Dade conjecture
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| spouse = Catherine Doléans-Dade
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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.{{cite web|title=Putnam Competition Individual and Team Winners |url=http://www.maa.org/programs/maa-awards/putnam-competition-individual-and-team-winners |publisher=Mathematical Association of America|access-date=December 10, 2021}}
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 {{harv|Collins|1990|loc=6.1}}. It was introduced by {{harvs|txt|last=Dade|authorlink=Everett C. Dade|year=1964}} as a generalization and simplification of an isometry used by {{harvtxt|Feit|Thompson|1963}} in their proof of the odd order theorem, and was used by {{harvtxt|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
- {{citation |last1=Collins |first1=Michael J. |title=Representations and Characters of Finite Groups |date=22 March 1990 |publisher=Cambridge University Press |isbn=978-0-521-23440-5 |url=https://books.google.com/books?id=VxnQwbs568oC |language=en}}
- {{Citation | last1=Dade | first1=Everett C. | author1-link=Everett C. Dade | title=Lifting group characters | jstor=1970409 | mr=0160813 | year=1964 | journal=Annals of Mathematics |series=Second Series | issn=0003-486X | volume=79 | issue=3 | pages=590–596 | doi=10.2307/1970409}}
- {{Citation | last1=Feit | first1=Walter | author1-link=Walter Feit | title=Characters of finite groups | url=https://books.google.com/books?id=t-vuAAAAMAAJ | publisher=W. A. Benjamin, Inc., New York-Amsterdam | mr=0219636 | year=1967| isbn=9780805324341 }}
- {{Citation | last1=Feit | first1=Walter | author1-link=Walter Feit | last2=Thompson | first2=John G. | author2-link=John G. Thompson | title=Solvability of groups of odd order | url=http://projecteuclid.org/Dienst/UI/1.0/Journal?authority=euclid.pjm&issue=1103053941 | mr=0166261 | year=1963 | journal=Pacific Journal of Mathematics | issn=0030-8730 | volume=13 | pages=775–1029| doi=10.2140/pjm.1963.13.775 | doi-access=free }}
- {{Citation | last1=Peterfalvi | first1=Thomas | title=Character theory for the odd order theorem | publisher=Cambridge University Press | series=London Mathematical Society Lecture Note Series | isbn=978-0-521-64660-4 | mr=1747393 | year=2000 | volume=272|url=https://books.google.com/books?isbn=052164660X | doi=10.1017/CBO9780511565861| url-access=subscription }}
Citations
{{Reflist}}
External links
- [http://www.math.uiuc.edu/~dade/ Everett C. Dade]
- {{MathGenealogy|id=9737}}
{{Authority control}}
{{DEFAULTSORT:Dade, Everett Clarence}}
Category:20th-century American mathematicians
Category:21st-century American mathematicians
Category:Year of birth missing (living people)
Category:Princeton University alumni