We create a 3-skeleton for a symmetric group's classifying space.
problem Classifying space construction for symmetric groups.
method Combining rewriting systems and combinatorial methods.
result Correctness of the constructed 3-skeleton.
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Let be the Torelli group of an oriented closed surface of genus , that is, the kernel of the action of the mapping class group on the first integral homology group of . We prove that the th integral homology group of contains a free abelian subgroup of infinite rank, pro…