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- W3000139981 abstract "Abstract Leighton’s graph covering theorem states that a pair of finite graphs with isomorphic universal covers have a common finite cover. We provide a new proof of Leighton’s theorem that allows generalisations; we prove the corresponding result for graphs with fins. As a corollary we obtain pattern rigidity for free groups with line patterns, building on the work of Cashen–Macura and Hagen–Touikan. To illustrate the potential for future applications, we give a quasi-isometric rigidity result for a family of cyclic doubles of free groups." @default.
- W3000139981 created "2020-01-23" @default.
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- W3000139981 date "2020-01-13" @default.
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- W3000139981 title "Revisiting Leighton’s theorem with the Haar measure" @default.
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- W3000139981 doi "https://doi.org/10.1017/s0305004119000550" @default.
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