Applications of topological graph theory to group theory

DOI10.1007/BF01175125zbMath0377.20027MaRDI QIDQ1246605

Edward C. Turner, Richard Z. Goldstein

Publication date: 1979

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172786

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Commutator calculus (20F12)

Related Items

On the local-global conjecture for commutator traces ⋮ Characterization of the maximum genus of a signed graph ⋮ Commutator length of finitely generated linear groups. ⋮ The nonorientable genus problem for one-relator products ⋮ An obstruction to embedding graphs in surfaces ⋮ Counting orbits of a product of permutations ⋮ On the product of certain permutations ⋮ Matrix group integrals, surfaces, and mapping class groups. I. \(\mathrm{U}(\mathrm{n})\)

Cites Work

• The combinatorial topology of analytic functions on the boundary of a disk
• Commutators as Products of Squares
• The genus of a class of graphs
• On Products of Powers in Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Applications of topological graph theory to group theory