On the number of classes of conjugate Hall subgroups in finite simple groups

Abstract

In this paper we find the number of conjugate $\pi$-Hall subgroups in all finite almost simple groups. We also complete the classification of $\pi$-Hall subgroups in finite simple groups and correct some mistakes from our previous paper.

article in press in "Journal of algebra"

Cited by in corpus (6)

• Pronormality of Hall subgroups in finite simple groups
• Existence criterion for Hall subgroups of finite groups
• A conjugacy criterion for Hall subgroups in finite groups
• Classification and properties of the $\pi$-submaximal subgroups in minimal nonsolvable groups
• The reduction theorem for relatively maximal subgroups
• When is the search of relatively maximal subgroups reduced to quotients?