Nonexistence of Idempotent Means on Free Binary Systems

DOI10.4153/CMB-2018-038-5zbMath1427.43001arXiv1807.05469OpenAlexW2888140268MaRDI QIDQ5242567

Justin Tatch Moore

Publication date: 12 November 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.05469

zbMATH Keywords

amenabilityThompson's groupHindman's theorembinary systemmagmanonassociativeEllis's lemmaidempotent mean

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Alternatives to the Halpern-Läuchli theorem, Unnamed Item, Rank-to-rank embeddings, Laver tables, and Galton-Watson processes

Cites Work

• Distral transformation groups
• Algebra in the Stone-Čech compactification: theory and applications
• Finite sums from sequences within cells of a partition of N
• Combinatorial Group Theory and Topology. (AM-111)
• Hindman's Theorem, Ellis's Lemma, and Thompson's group $F$