The structure of infinite 2-groups with a unique 2-element subgroup
Group Theory
2010-09-28 v3
Abstract
We prove that each infinite 2-group with a unique 2-element subgroup is isomorphic either to the quasicyclic 2-group or to the infinite group of generalized quaternions.
Cite
@article{arxiv.1009.0180,
title = {The structure of infinite 2-groups with a unique 2-element subgroup},
author = {Taras Banakh},
journal= {arXiv preprint arXiv:1009.0180},
year = {2010}
}
Comments
4 pages