A Kantor family admitting a normal F-factor constitutes a p-group
Koen Thas · Advances in Geometry · 2008
Abstract We solve a more general version of a conjecture of D. Hachenberger [D. Hachenberger, Groups admitting a Kantor family and a factorized normal subgroup. Des. Codes Cryptogr. 8 (1996), 135–143. MR1393979 (98c:20042) Zbl 0877.51007] by showing that a group admitting a Kantor family with a thick F-factor is a p-group for some prime p.