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math.RT2012★ 1 cited
Broué's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited
Shigeo Koshitani, Jürgen Müller, Felix Noeske
We show that the 3-block of the sporadic simple Janko group J_4 with defect group C_3 x C_3, and the principal 3-block of the alternating group A_8 are Puig equivalent, answering a…
math.RT2012★ 1 cited
Broué's abelian defect group conjecture holds for the double cover of the Higman-Sims sporadic simple group
Shigeo Koshitani, Jürgen Müller, Felix Noeske
In the representation theory of finite groups, there is a well-known and important conjecture, due to Broué saying that for any prime p, if a p-block A of a finite group G has an a…