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arXiv · 1212.2775

Broué's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited

Shigeo Koshitani·Jürgen Müller·Felix Noeske
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Abstract

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 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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Shigeo Koshitani, Jürgen Müller, Felix Noeske. 2012-12-12. Broué's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited. https://arxiv.org/abs/1212.2775

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