ORDERING GRAPH PRODUCTS OF GROUPS

DOI10.1142/S0218196712500373zbMath1272.20043OpenAlexW2087091773MaRDI QIDQ3166268

Ian M. Chiswell

Publication date: 10 October 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196712500373

zbMATH Keywords

right-orderable groupsright-ordered groupsfree products of groupsgraph products of groups

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (7)

RAPID DECAY IS PRESERVED BY GRAPH PRODUCTS ⋮ The CCAP for graph products of operator algebras ⋮ No positive cone in a free product is regular ⋮ Generalising some results about right-angled Artin groups to graph products of groups. ⋮ Graph product Khintchine inequalities and Hecke \(C^\ast \)-algebras: Haagerup inequalities, (non)simplicity, nuclearity and exactness ⋮ Connes embeddability of graph products ⋮ Ordering free products of groups

Cites Work

• The lower central series of the free partially commutative group
• Rigidity of graph products of groups.
• Word problems, embeddings, and free products of right-ordered groups with amalgamated subgroup
• SIMPLE ORDERINGS FOR FREE PARTIALLY COMMUTATIVE GROUPS
• Specially ordered groups

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