Some articles on group, groups, defect group:
... 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 ...
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. Thats 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)