Brou\'e's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited
Representation Theory
2012-12-13 v1
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.
Keywords
Cite
@article{arxiv.1212.2775,
title = {Brou\'e's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited},
author = {Shigeo Koshitani and Jürgen Müller and Felix Noeske},
journal= {arXiv preprint arXiv:1212.2775},
year = {2012}
}
Comments
17 pages