About this article
Published Online: Aug 05, 2017
Page range: 202 - 212
Received: Apr 26, 2017
DOI: https://doi.org/10.1515/ausm-2017-0013
Keywords
© 2017 Vipul Kakkar et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In this paper the notions of solvable right transversal and nilpotent right transversal are defined. Further, it is proved that if a core-free subgroup has a generating solvable transversal, then the whole group is solvable.