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Online veröffentlicht: 05. Aug. 2017
Seitenbereich: 202 - 212
Eingereicht: 26. Apr. 2017
DOI: https://doi.org/10.1515/ausm-2017-0013
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© 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.