Abstract. Another combinatorial proof of a theorem of Ree's on permutations is offered. This proof makes use of the notion of the genus of pair of permutations.
Jun 19, 2011 · The rule to remember is that the product of all three monodromies is trivial, since the composition of three loops yields a contractible loop.
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Nov 1, 2020 · We study finite permutation groups that induce automorphisms on a compact Riemann surface X of genus at least 2, with particular fixed point properties.
Missing: Permutations | Show results with:Permutations
It is known that if S is a compact Riemann surface of genus y ^ 2, then the group of automorphisms (con- formal homeomorphisms) of S can be faithfully ...
A Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann.
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Functions on Riemann surfaces. We already defined analytic functions between Riemann surfaces and also introduced the concept of a conformal isomorphism ...
Oct 26, 2009 · Every Riemann surface is a complex algebraic curve and every compact complex algebraic curve can be embedded into a projective plane and drawn ...
Missing: Permutations | Show results with:Permutations
This is clear for a Riemann surface defined as the zero-set of an algebraic equation P(z, w(z)) = 0; it projects surjectively to the complex z-plane, Because ...
Missing: Permutations | Show results with:Permutations
Aug 29, 2020 · Hurwitz' construction of Riemann surfaces, asks for all permutations Sk of the copies of the cutted complex planes E∗ at the branching ...
Aug 10, 2015 · PDF | On Mar 1, 1976, David Singerman published Automorphisms of Maps, Permutation Groups and Riemann Surfaces | Find, read and cite all the ...