Endotrivial modules for the sporadic simple groups and their covers

25 Mar 2015 · Lassueur Caroline, Mazza Nadia ·

In a step towards the classification of endotrivial modules for quasi-simple groups, we investigate endotrivial modules for the sporadic simple groups and their covers. A main outcome of our study is the existence of torsion endotrivial modules with dimension greater than one for several sporadic groups with $p$-rank greater than one.