Among cocompact special groups, being linearly polynomially hyperbolic is equivalent to not containing F2 × F2 as a subgroup, rendering the latter a quasi-isometric invariant.
Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.GR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Involution systems generalize Coxeter systems such that their weak orders are complete meet-semilattices for a broader class including cactus groups, with finite presentations for those with sign characters and new characterizations of Coxeter systems.
citing papers explorer
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Polynomial hyperbolicity and products of free groups
Among cocompact special groups, being linearly polynomially hyperbolic is equivalent to not containing F2 × F2 as a subgroup, rendering the latter a quasi-isometric invariant.
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Weak order on groups generated by involutions
Involution systems generalize Coxeter systems such that their weak orders are complete meet-semilattices for a broader class including cactus groups, with finite presentations for those with sign characters and new characterizations of Coxeter systems.