Median decompositions arise from any system of vertex cuts via Sageev's dual median graph, are uniquely minimal, satisfy median-width equals clique number on all graphs, and characterize proper geometric actions of groups on median graphs through canonical decompositions of Cayley graphs.
Springer-Verlag, Hei- delberg, 2023, pp
2 Pith papers cite this work. Polarity classification is still indexing.
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Introduces generalisable presentations and topological RAAGs as locally compact groups, studies their Salvetti-type complexes, and constructs TDLC examples of type FP_n but not FP_{n+1}.
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Vertex cuts and median decompositions
Median decompositions arise from any system of vertex cuts via Sageev's dual median graph, are uniquely minimal, satisfy median-width equals clique number on all graphs, and characterize proper geometric actions of groups on median graphs through canonical decompositions of Cayley graphs.
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Generalisable presentations and compactness properties of locally compact right-angled Artin groups
Introduces generalisable presentations and topological RAAGs as locally compact groups, studies their Salvetti-type complexes, and constructs TDLC examples of type FP_n but not FP_{n+1}.