Brou\'e's abelian defect group conjecture for the sporadic simple Janko group J4 revisited
Abstract
We show that the 3-block of the sporadic simple Janko group J4 with defect group C3 x C3, and the principal 3-block of the alternating group A8 are Puig equivalent, answering a question posed in earlier work of Koshitani-Kunugi-Waki. To accomplish this, we apply computational techniques, in particular an explicit version of the Brauer construction.
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