Surface Subgroups of Graph Groups

DOI10.2307/2047406zbMath0677.20023OpenAlexW1972479642MaRDI QIDQ3832759

Brigitte Servatius, Carl Droms, Herman J. Servatius

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047406

zbMATH Keywords

relationspresentationsgeneratorsArtin groupsfundamental groupsfree groupscovering spacesorientable surfacescommutator subgroupgraph groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Commutator calculus (20F12)

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Cites Work

• Subgroups of graph groups
• Artin groups and infinite Coxeter groups
• On Tit's conjecture and other questions concerning Artin and generalized Artin groups
• Homology of certain algebras defined by graphs
• An exact sequence for rings of polynomials in partly commuting indeterminates
• Automorphisms of graph groups.
• Combinatorial problems of commutation and rearrangements