Towers, ladders and the B. B. Newman Spelling Theorem

DOI10.1017/S1446788700002718zbMath0995.20018MaRDI QIDQ2748391

G. Christopher Hruska, Daniel T. Wise

Publication date: 2 July 2002

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finitely generated groupsFreiheitssatzone-relator groupsdiagramstowersspherical diagramsladdersstaggered presentationsspelling theoremslocally quasiconvex groupsconnected CW-complexes

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items

Negative immersions for one-relator groups, COHERENCE, LOCAL INDICABILITY AND NONPOSITIVE IMMERSIONS, Conjugacy distinguished subgroups., Limit groups are subgroup conjugacy separable., A SPELLING THEOREM FOR TORSION-FREE ONE-RELATOR PRESENTATIONS, Local quasiconvexity of groups acting on small cancellation complexes., FREELY INDECOMPOSABLE GROUPS ACTING ON HYPERBOLIC SPACES, Lifting group actions, equivariant towers and subgroups of non-positively curved groups., Cubulating one-relator groups with torsion, Cubulating one-relator products with torsion, Windmills and extreme 2-cells

Cites Work

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• Das Identitätsproblem für Gruppen mit einer definierenden Relation
• Cohomology theory of groups with a single defining relation
• Some results on one-relator groups