Construction of isolated left orderings via partially central cyclic amalgamation.

DOI10.2748/tmj/1458248862zbMath1339.06018arXiv1107.0545OpenAlexW2963478374MaRDI QIDQ286718

Tetsuya Ito

Publication date: 25 May 2016

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0545

zbMATH Keywords

amalgamated free productsfinitely generated positive conesisolated orderingsorderable groupsspaces of left orderings

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 (4)

Dynamics of isolated left orders ⋮ Spaces of orders of some one-relator groups ⋮ Invariant ordering of groups and topology ⋮ On the space of left-orderings of virtually solvable groups

Cites Work

• Unnamed Item
• Dehornoy-like left orderings and isolated left orderings.
• Left-orderings on free products of groups
• Cones of certain isolated left orderings and chain domains.
• A remarkable family of left-ordered groups: central extensions of Hecke groups
• On the dynamics of (left) orderable groups.
• Monoids of \(O\)-type, subword reversing, and ordered groups.
• The space of left orders of a group is either finite or uncountable
• TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS
• One-relater groups with center
• On braid groups

This page was built for publication: Construction of isolated left orderings via partially central cyclic amalgamation.