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Authors: Asiki, Natalia-Maria
Title: From simplicial groups to crossed squares
Issue Date: 2022 Abschlussarbeit (Bachelor) 89
Abstract: Simplicial groups are defined to be contravariant functors from the simplex category to the category of groups. The truncation functor maps a simplicial group to a [2,0]-simplicial group, satisfying the Conduché condition. A functor from the category of [2,0]-simplicial groups to the category of crossed squares is constructed, following Porter. It is shown that the latter functor is not an equivalence of categories. In addition, Loday's variant of the resulting crossed square is constructed and shown to be isomorphic to Porter's variant.
Appears in Collections:08 Fakultät Mathematik und Physik

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