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arxiv: 1507.00135 · v1 · pith:2NAGOAUQnew · submitted 2015-07-01 · 🧮 math.GR

Sigma 1 of PL-homeomorphism groups

Ralph Strebel This is my paper
classification 🧮 math.GR
keywords groupssigmainvariantlinepl-homeomorphismresultscayley-graphcompact
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I survey the known results about the invariant Sigma 1 of groups of PL-homeomorphisms of a compact interval and supplement them with new results about Sigma 1 of PL-homeomorphism groups of a half line or a line. The proofs are based on the Cayley-graph definition of the invariant.

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  1. Action graphs, semiconjugacy, and non-embedding in Thompson's group $V$

    math.GR 2026-05 unverdicted novelty 7.0

    The paper establishes non-embeddability results for groups like the Stein group F_{2,3} into Thompson's group V via new facts about action graphs and semiconjugacy of embeddings.