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词条 Everett C. Dade
释义

  1. Work

  2. References

  3. External links

{{Infobox scientist
| name = Everett C. Dade
| image =
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| birth_date =
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| fields = Mathematics
| workplaces = University of Illinois at Urbana–Champaign
| alma_mater = Princeton University
| thesis_title = Multiplicity and Monoidal Transformations
| thesis_url =
| thesis_year = 1960
| doctoral_advisor = O. Timothy O'Meara
| doctoral_students =
| known_for = Dade isometry, Dade conjecture
| influences =
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| spouse = Catherine Doléans-Dade
| children =
}}

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 {{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

  • {{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 | 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}}
  • {{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}}
  • {{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}}

External links

  • Everett C. Dade
  • {{MathGenealogy|id=9737}}
{{DEFAULTSORT:Dade, Everett Clarence}}

7 : 20th-century American mathematicians|21st-century American mathematicians|Living people|Year of birth missing (living people)|Group theorists|Princeton University alumni|University of Illinois at Urbana–Champaign faculty

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