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|Title:||Primitive Homology Representation Of Finite Graph Covers|
|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|
|Appears in Collections:||Mathematics, 1934-2021|
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