The Bieri-Neumann-Strebel invariants for graph groups

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Abstract
  • Given a finite simplicial graph G, the graph group GG is the group with generators in one-to-one correspondence with the vertices of G and with relations stating that two generators commute if their associated vertices are adjacent in G. The Bieri-Neumann-Strebel invariant can be explicitly described in terms of the original graph G and hence there is an explicit description of the distribution of finitely generated normal subgroups of GB with abelian quotient. We construct Eilenberg-MacLane spaces for graph groups and find partial extensions of this work to the higher-dimensional invariants.
TitleThe Bieri-Neumann-Strebel invariants for graph groups
CreatorMeier, John
Vanwyck, L.
PublisherProceedings of the London Mathematical Society
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date IssuedSeptember 1995
Date Available2023-04-17
TypeArticle
LanguageEnglish
Bibliographic CitationMeier, J. and L. Vanwyck (1995 Sept) "The Bieri-Neumann-Strebel invariants for graph groups." Proceedings of the London Mathematical Society 71: 263-280.
Standard IdentifierDOI 10.1112/plms/s3-71.2.263
Handle 10385/g445cf640
Permalinkhttp://hdl.handle.net/10385/g445cf640
Rights Statement In Copyright In Copyright
Rights HoldersLondon Mathematical Society
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