Everett C. Dade Explained

Everett C. Dade
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
Known For:Dade isometry, Dade conjecture
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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.[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 . It was introduced by as a generalization and simplification of an isometry used by in their proof of the odd order theorem, and was used by 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.

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Notes and References

  1. Web site: Putnam Competition Individual and Team Winners . Mathematical Association of America. December 10, 2021.