### Some articles on *group, groups, defect group*:

Richard Brauer - Mathematical Work

... theorem, which has applications in number theory as well as finite

... theorem, which has applications in number theory as well as finite

**group**theory, and its corollary Brauer's characterization of characters, which is central to the ... impetus towards the classification of finite simple**groups**, for it implied that there could only be finitely many finite simple**groups**for which the centralizer of an ... Brauer applied modular representation theory to obtain subtle information about**group**characters, particularly via his three main theorems ...Brauer's Three Main Theorems - Brauer's First Main Theorem

1956, 1970) states that if is a finite

1956, 1970) states that if is a finite

**group**a is a -subgroup of, then there is a bijection between the set of (characteristic p) blocks of with**defect group**and blocks of the normalizer ... This bijection arises because when, each block of G with**defect group**D has a unique Brauer correspondent block of H, which also has**defect group**D ...### Famous quotes containing the words group and/or defect:

“The boys think they can all be athletes, and the girls think they can all be singers. That’s the way to fame and success. ...as a *group* blacks must give up their illusions.”

—Kristin Hunter (b. 1931)

“Only in Britain could it be thought a *defect* to be “too clever by half.” The probability is that too many people are too stupid by three-quarters.”

—John Major (b. 1943)

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