Alperin–Brauer–Gorenstein theorem explained

M11

. proved this in the course of 261 pages. The subdivision by 2-fusion is sketched there, given as an exercise in, and presented in some detail in .

Notes

  1. A 2-group is wreathed if it is a nonabelian semidirect product of a maximal subgroup that is a direct product of two cyclic groups of the same order, that is, if it is the wreath product of a cyclic 2-group with the symmetric group on 2 points.