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 generating solvable transversal, then the whole group is solvable.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2017-08-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ausm-2017-0013 |