Extension of Carter subgroups in $\pi$-separable groups
Group Theory
2020-08-05 v1
Abstract
Let be a set of primes. We show that -separable groups have a conjugacy class of subgroups which specialize to Carter subgroups, i.e. self-normalizing nilpotent subgroups, or equivalently, nilpotent projectors, when specializing to soluble groups.
Cite
@article{arxiv.2008.01136,
title = {Extension of Carter subgroups in $\pi$-separable groups},
author = {M. Arroyo-Jordá and P. Arroyo-Jordá and R. Dark and A. D. Feldman and M. D. Pérez-Ramos},
journal= {arXiv preprint arXiv:2008.01136},
year = {2020}
}