Abstract
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.
DOI: https://doi.org/10.1515/ausm-2017-0013 | Journal eISSN: 2066-7752
Language: English
Page range: 202 - 212
Submitted on: Apr 26, 2017
|Published on: Aug 5, 2017
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
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© 2017 Vipul Kakkar, Vivek Kumar Jain, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.