The pure cactus group is residually nilpotent

DOI10.1007/s00013-019-01332-7OpenAlexW2964337988WikidataQ127969701 ScholiaQ127969701MaRDI QIDQ2316813

Jacob Mostovoy

Publication date: 7 August 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.09165

zbMATH Keywords

right-angled Coxeter groupresidual nilpotencepure cactus group

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Nilpotent groups (20F18) Other groups related to topology or analysis (20F38)

Related Items (2)

Linearity of generalized cactus groups ⋮ Cactus groups, twin groups, and right-angled Artin groups

Cites Work

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• Residual properties of graph products of groups.
• The strong Atiyah conjecture for right-angled Artin and Coxeter groups.
• The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points
• The homology of real subspace arrangements
• Intersection Theory of Moduli Space of Stable N-Pointed Curves of Genus Zero
• The representation of a generalized free product in an associative ring
• On the residual nilpotence of certain one‐relator groups

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