Wrappings of permutations

Stahl, Saul

doi:10.1090/S0002-9947-1987-0871668-9

Wrappings of permutations
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Trans. Amer. Math. Soc. 300 (1987), 133-152 Request permission

Abstract:

A theory of wrappings of permutations is constructed which is analogous to the well-known concept of branched coverings of Riemann surfaces. It is shown that this theory is strong enough to contain combinatorial definitions of such well-known groups as Fuchsian groups of the first kind and triangle groups.

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