The Klein bottle group is not strongly verbally closed, though awfully close to being so

DOI10.4153/S0008439520000582MaRDI QIDQ5003448

Anton A. Klyachko

Publication date: 22 July 2021

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

Full work available at URL: https://arxiv.org/abs/2006.15523

zbMATH Keywords

surface groupsverbally closed subgroups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Algebraic geometry over groups; equations over groups (20F70)

Related Items

Finite and nilpotent strongly verbally closed groups

Cites Work

• Virtually free finite-normal-subgroup-free groups are strongly verbally closed
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• On certain \(C\)-test words for free groups
• Strongly verbally closed groups
• A periodicity theorem for acylindrically hyperbolic groups
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• On free decompositions of verbally closed subgroups in free products of finite groups
• Equations over groups
• Verbally closed subgroups of free groups
• Verbally closed virtually free subgroups
• Free products of groups are strongly verbally closed
• A note on Fuchsian groups