On Autonilpotent Finite Groups
Group Theory
2017-11-07 v1
Abstract
In the paper autonilpotent groups were characterized as groups such that stabilizes some chain of subgroups of . It was shown that a -group is autonilpotent if and only if its group of automorphisms is also a -group. Analogues of Baer's theorem about the hypercenter and Frobenius -nilpotency criterion were obtained for autonilpotent groups.
Cite
@article{arxiv.1711.01688,
title = {On Autonilpotent Finite Groups},
author = {V. I. Murashka},
journal= {arXiv preprint arXiv:1711.01688},
year = {2017}
}