A COLORING TEST FOR ASPHERICITY

DOI10.1093/qmath/34.1.97zbMath0522.57003OpenAlexW2044205806MaRDI QIDQ3672725

Allan J. Sieradski

Publication date: 1983

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/34.1.97

zbMATH Keywords

characteristic mapasphericity of 2-complexescorners of 0-cellsdiagrammatically aspherical presentations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Fundamental group, presentations, free differential calculus (57M05) Homotopy groups of special spaces (55Q52)

Related Items (18)

COHERENCE, LOCAL INDICABILITY AND NONPOSITIVE IMMERSIONS ⋮ Products of conjugacy classes in a free group: a counterexample ⋮ Aspherical relative presentations ⋮ Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility ⋮ Amalgamations and the Kervaire problem ⋮ The local structure of injective LOT-complexes ⋮ Tesselations ofS²and equations over torsion-free groups ⋮ Directed diagrammatic reducibility ⋮ Lifting group actions, equivariant towers and subgroups of non-positively curved groups. ⋮ Sectional curvature of polygonal complexes with planar substructures ⋮ A generalized weight test with applications to tree presentations ⋮ Logical Distinction Between Diagrammatic and Cohen–Lyndon Asphericity ⋮ Nonsingular systems of two length three equations over a group ⋮ The group \(\langle G,t\mid e\rangle\) when \(G\) is torsion free ⋮ Nonpositive immersions, sectional curvature, and subgroup properties ⋮ A new test for asphericity and diagrammatic reducibility of group presentations ⋮ Equations with torsion-free coefficients ⋮ Relative vertex asphericity

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