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Leighton’s Property of X_{m,n}

Maya Verma ⟨maya.verma-1@ou.edu⟩

Abstract:

In 1982, Leighton proved that any two finite graphs with a common cover admits a finite sheeted common cover. In this talk, I will introduce the combinatorial model X_{m,n} for Baumslag-Solitar group BS(m,n), and classify for which pairs of integers (m,n) the Leighton’s theorem can be extended to the orbit space of covering actions on X_{m,n}.

Status: Accepted

Collection: Semi-Plenary Talks

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