The order of one contained in another must divide the order of the containing one according to Lagrange's lemma.
A relation between covering and the number of generators for a specific type of this object containing cosets is Abhyankar's Conjecture. Sometimes defined as invertible monids, these structures are called topological if they have the Hausdorff topology and are continuous. Their character, sometimes known as the trace, is equal for ones in the same conjugacy class. The order of one contained in another must divide the order of the containing one according to Lagrange's lemma. These are named for Lie [LEE] when their operation is smooth.  They're not rings, but when they commute, they are called Abelian.  FTP, name these mathematical structures, sets of elements and operations that are closed and associative and have an identity and inverses.
A relation between covering and the number of generators for a specific type of this object containing cosets is Abhyankar's Conjecture.
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