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arxiv: 1410.2579 · v2 · pith:CLFWWR7Knew · submitted 2014-10-09 · 🧮 math.GR

Counting cycles in labeled graphs: The nonpositive immersion property for one-relator groups

classification 🧮 math.GR
keywords immersionnonpositiveone-relatorpropertycomplexcomplexescountingcycles
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We prove a rank 1 version of the Hanna Neumann Theorem. This shows that every one-relator 2-complex without torsion has the nonpositive immersion property. The proof generalizes to staggered and reducible 2-complexes.

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