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Group actions with commensurated subsets, wallings and cubings

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arxiv 1302.5982 v2 pith:NI6ILQ6P submitted 2013-02-25 math.GR math.GT

classification math.GRmath.GT
keywords actionscubingsgraphswallingsassociatedcommensuratedcommensuratingconnection
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We study commensurating actions of groups and the associated properties FW and PW, in connection with wallings, median graphs, CAT(0) cubings and multi-ended Schreier graphs.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Commensurating actions and self-similar groups

    math.GR 2026-07 conditional novelty 8.0 of 10

    The Sierpiński carpet group is the first infinite finitely generated amenable group with Property FW; more generally, FW for contracting branch groups is equivalent to being just-infinite and having a no-local-cut-poi...

  2. On cube and Cremona rigidity for higher-rank lattices

    math.DS 2026-07 accept novelty 7.0 of 10

    Irreducible higher-rank lattices have virtually isotopically projectively regularizable birational actions on complex projective surfaces, via cohomological vanishing and a cube-complex fixed-point theorem.

  3. The analogue of Belinskaya's theorem for measure-preserving flows

    math.DS 2026-07 accept novelty 6.0 of 10

    Two free ergodic measure-preserving flows with isomorphic L¹ full groups are conjugate up to a constant time rescaling, which may reverse time.

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