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math.DS2012
Homology of origamis with symmetries
Carlos Matheus, Jean-Christophe Yoccoz, David Zmiaikou
Given an origami (square-tiled surface) M with automorphism group G, we compute the decomposition of the first homology group of M into isotypic G-submodules. Through the action of…
math.GR2012★ 2 cited
The probability of generating the symmetric group with a commutator condition
David Zmiaikou
Let B(n) be the set of pairs of permutations from the symmetric group of degree n with a 3-cycle commutator, and let A(n) be the set of those pairs which generate the symmetric or…