Generalising Collins' Theorem

2023/07/28 by James Howie, Howie, James, Hamish Short +1
Mathematics · #20F06 #57K20. Secondary 20E06 #57M07 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Primary 20F65

paper · pdf · doi:10.48550/arxiv.2307.15397

openalex publication_date 2023/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalise a result of D. J. Collins on intersections of conjugates of Magnus subgroups of one-relator groups to the context of one-relator products of locally indicable groups.

Related

• A Magnus extension for locally indicable groups
• A Magnus theorem for some amalgamated products
• One-relator quotients of Partially Commutative Groups
• Coherence and one-relator products of locally indicable groups
• Three articles on one-relator groups by Wilhelm Magnus