<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Solvable and nilpotent right loops

School of Mathematics, Harish-Chandra Research Institute

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Solvable and nilpotent right loops"}

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...

Solvable and nilpotent right loops

Published Online: Aug 05, 2017

Page range: 202 - 212

Received: Apr 26, 2017

DOI: https://doi.org/10.1515/ausm-2017-0013

Keywords
right loop, right transversal, solvable right loop, nilpotent right loop

© 2017 Vipul Kakkar et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Solvable and nilpotent right loops

Published Online: Aug 05, 2017

Page range: 202 - 212

Received: Apr 26, 2017

DOI: https://doi.org/10.1515/ausm-2017-0013

Keywordsright loop, right transversal, solvable right loop, nilpotent right loop

© 2017 Vipul Kakkar et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
right loop, right transversal, solvable right loop, nilpotent right loop