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

Richard Brauer - Mathematical Work

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

... induction 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 ... in 1956, later provided significant impetus towards the classification of finite simple**groups**, for it implied that there could only be finitely many finite simple ... theory to obtain subtle information about**group**characters, particularly via his three main theorems ...Brauer's Three Main Theorems - Brauer's First Main Theorem

... Brauer's first main theorem (Brauer 1944, 1956, 1970) states that if is a finite

... Brauer's first main theorem (Brauer 1944, 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 ... 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 trouble with tea is that originally it was quite a good drink. So a *group* of the most eminent British scientists put their heads together, and made complicated biological experiments to find a way of spoiling it. To the eternal glory of British science their labour bore fruit.”

—George Mikes (b. 1912)

“A weak mind is the only *defect* out of our power to mend.”

—François, Duc De La Rochefoucauld (1613–1680)

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