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Graph Coverings and (Im)primitive Homology: Examples of Low Degree

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Given a finite covering of graphs f:Y→X , it is not always the case that H1(Y;C) is spanned by lifts of primitive elements of π1(X) . In this article, we… Click to show full abstract

Given a finite covering of graphs f:Y→X , it is not always the case that H1(Y;C) is spanned by lifts of primitive elements of π1(X) . In this article, we study graphs for which this is not the case...

Keywords: homology examples; examples low; low degree; graph coverings; coverings primitive; primitive homology

Journal Title: Experimental Mathematics
Year Published: 2021

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