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Title: Primitive Homology Representation Of Finite Graph Covers
Authors: Sylejmani, Doruntina
Advisors: Pardon, John
Department: Mathematics
Class Year: 2021
Abstract: Given a cover of a graph ρ : Y → X with associated deck group transformation G, we provide its first homology as a G−representation. We introduce the concept of primitive homology H prim 1 (Y ; C) ⊂ (Y ; C) and provide some results about the cases when H prim 1 (Y ; C) = H1(Y ; C). For example abelian covers. We then end in an example fo a group for which the equality doesn’t hold.
Type of Material: Princeton University Senior Theses
Language: en
Appears in Collections:Mathematics, 1934-2021

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