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In this note, I propose the following conjecture: a finite group G is nilpotent if and only if its largest quotient B-group \beta(G) is nilpotent. I give a proof of this conjecture under the additiona...
The K-theoretic Farrell-Jones conjecture for CAT(0)-groups
Farrell-Jones conjecture algebraic K-theory of group rings
2011/2/21
We prove the K-theoretic Farrell-Jones conjecture with (twisted)coefficients for CAT(0)-groups.
Broué's abelian defect group conjecture holds for the sporadic simple Conway group Co_3
Broué's abelian defect group conjecture the sporadic simple Conway group Co_3
2010/11/23
In the representation theory of finite groups, there is a well-known and important conjecture due to M. Brou\'e. He conjectures that, for any prime p, if a p-block A of a finite group G has an abelian...