2020/04/05 by Burkett, Shawn T., Lewis, Mark L. · 1 citation
#20C15 #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2004.02061
Frobenius groups are an object of fundamental importance in finite group theory. As such, several generalizations of these groups have been considered. Some examples include: A Frobenius--Wielandt group is a triple (G,H,L) where H/L is \it almost a Frobenius complement for G; A Camina pair is a pair (G,N) where N is \it almost a Frobenius kernel for G; A Camina triple is a triple (G,N,M) where (G,N) and (G,M) are \it almost Camina pairs. In this paper we study triples (G,N,M) where (G,N) and (G,M) are \it almost Frobenius groups.