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arxiv: 1402.3378 · v1 · pith:HPUEYYFWnew · submitted 2014-02-14 · 🧮 math.GR

Solvable and Nilpotent Right Loops

classification 🧮 math.GR
keywords solvabletransversalnilpotentrightgeneratingbeencore-freedefined
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In this paper the notion of nilpotent right transversal and solvable right transversal has been defined. Further, it is proved that if a core-free subgroup has a generating solvable transversal or a generating nilpotent transversal, then the whole group is solvable.

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