Counterexamples to a conjecture about spherical diagrams

DOI10.1017/S0305004100066275zbMath0615.57004OpenAlexW2103851120WikidataQ122877337 ScholiaQ122877337MaRDI QIDQ4722852

James Howie, Steve M. Gersten

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100066275

zbMATH Keywords

Kervaire conjecturenon-singular system of equations over a groupspherical diagram over a 2-complextessellation of the 2-sphere

Mathematics Subject Classification ID

Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• Conservative groups, indicability, and a conjecture of Howie
• Products of conjugacy classes in a free group: a counterexample
• Surfaces in three-manifolds and non-singular equations in groups

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