A Freiheitssatz for Whitehead Graphs of One-Relator Groups with Small Cancellation

DOI10.1080/00927870802564704zbMath1187.20032OpenAlexW1989150127MaRDI QIDQ3395618

Arye Juhász

Publication date: 11 September 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802564704

zbMATH Keywords

Freiheitssatzone-relator groupssmall cancellation conditionsWhitehead graphs

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free nonabelian groups (20E05) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Cites Work

• Unnamed Item
• A strengthened Freiheitssatz
• Magnus intersections of one-relator free products with small cancellation conditions.
• A strengthened Freiheitssatz for one-relator small cancellation free products
• Small Cancellation Theory with a Unified Small Cancellation Condition I
• Coinitial Grapfis and Whitehead Automorphisms
• Automorphisms of one-relator groups
• Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion

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