Subgroups defining automorphisms in locally nilpotent groups
Group Theory
2007-05-23 v1
Abstract
We investigate some situation in which automorphisms of a group G are uniquely determined by their restrictions to a proper subgroup H. Much of the paper is devoted to studying under which additional hypotheses this property forces G to be nilpotent if H is. As an application we prove that certain countably infinite locally nilpotent groups have uncountably many (outer) automorphisms.
Cite
@article{arxiv.math/0109160,
title = {Subgroups defining automorphisms in locally nilpotent groups},
author = {Giovanni Cutolo and Chiara Nicotera},
journal= {arXiv preprint arXiv:math/0109160},
year = {2007}
}
Comments
14 pages - no figures - to appear on Forum Mathematicum --- plain TeX requires eplain + additional macros files