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Solutions d'une équation quadratique dans le groupe libre. (Solutions of a quadratic equation in the free group)

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Publication:1080517
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DOI10.1016/0012-365X(86)90075-0zbMath0599.20035MaRDI QIDQ1080517

Daniel Piollet

Publication date: 1986

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

free groupquadratic equationfree generatorsset of solutionsquadratic word


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other groups related to topology or analysis (20F38) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)


Related Items

On the group of automorphisms of the free group. I: Transvections, Limit groups as limits of free groups., On the rank of quadratic equations in free groups, Classification of epimorphisms of fundamental groups of surfaces onto free groups



Cites Work

  • Unnamed Item
  • Using surfaces to solve equations in free groups
  • Some finitely presented subgroups of the automorphism group of a free group
  • Equations quadratiques dans le groupe libre
  • Flächen und ebene diskontinuierliche Gruppen
  • Equations in Free Groups
  • Coinitial Grapfis and Whitehead Automorphisms
  • Automorphisms of the Fundamental Group of a Closed, Orientable 2-Manifold
  • Some new algebraic methods in topology
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