Everett Clarence Dade is a mathematician at

University of Illinois at Urbana–Champaign The University of Illinois Urbana-Champaign (U of I, Illinois, University of Illinois, or UIUC) is a public land-grant research university in Illinois in the twin cities of Champaign and Urbana. It is the flagship institution of the Unive ...

working on finite groups and representation theory, who introduced the

Dade isometry In mathematical finite group theory, the Dade isometry is an isometry from class function 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 simplificatio ...

and Dade's conjecture. While an undergraduate at

Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of high ...

, he became a

Putnam Fellow The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regar ...

twice, in 1955 and 1957.

Work

The

is an

isometry In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective. The word isometry is derived from the Ancient Greek: ἴσος ''isos'' mea ...

from class functions on a subgroup ''H'' with support on a subset ''K'' of ''H'' to

class function In mathematics, especially in the fields of group theory and representation theory of groups, a class function is a function on a group ''G'' that is constant on the conjugacy classes of ''G''. In other words, it is invariant under the conjug ...

s 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 Odd means unpaired, occasional, strange or unusual, or a person who is viewed as eccentric. Odd may also refer to: Acronym * ODD (Text Encoding Initiative) ("One Document Does it all"), an abstracted literate-programming format for describing X ...

, and was used by in his revision of the character theory of the odd order theorem. Dade's conjecture is a

conjecture In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (a conjecture until proven in 1 ...

relating the numbers of characters of blocks of a finite group to the numbers of characters of blocks of local

subgroup In group theory, a branch of mathematics, given a group ''G'' under a binary operation ∗, a subset ''H'' of ''G'' is called a subgroup of ''G'' if ''H'' also forms a group under the operation ∗. More precisely, ''H'' is a subgrou ...

References

Sources * * * * * Citations

External links

Everett C. Dade
* {{DEFAULTSORT:Dade, Everett Clarence 20th-century American mathematicians 21st-century American mathematicians Living people Year of birth missing (living people) Group theorists Princeton University alumni University of Illinois Urbana-Champaign faculty Putnam Fellows Harvard College alumni