Solvable and Nilpotent Right Loops
Group Theory
2014-02-17 v1
Abstract
In this paper the notion of nilpotent right transversal and solvable right transversal has been defined. Further, it is proved that if a core-free subgroup has a generating solvable transversal or a generating nilpotent transversal, then the whole group is solvable.
Cite
@article{arxiv.1402.3378,
title = {Solvable and Nilpotent Right Loops},
author = {Vivek Kumar Jain and Vipul Kakkar},
journal= {arXiv preprint arXiv:1402.3378},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1307.5392