Defect Group

Some articles on group, groups, defect group:

Richard Brauer - Mathematical Work
... 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 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:

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    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)