Groups with free regular length functions in $\mathbb{Z}^{n}$
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Publication:2884389
DOI10.1090/S0002-9947-2012-05376-1zbMath1285.20028arXiv0907.2356OpenAlexW2908335498MaRDI QIDQ2884389
D. E. Serbin, O. G. Kharlampovich, Alexei G. Myasnikov, Vladimir N. Remeslennikov
Publication date: 29 May 2012
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.2356
Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups acting on trees (20E08)
Related Items (6)
Groups acting on hyperbolic Λ-metric spaces ⋮ Elementary theory of free non-abelian groups. ⋮ Membership problem in groups acting freely on \(\mathbb N^n\)-trees. ⋮ AFFINE ACTIONS ON NON-ARCHIMEDEAN TREES ⋮ ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS ⋮ Hierarchy for groups acting on hyperbolic ℤn-spaces
Cites Work
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- Valuations, trees, and degenerations of hyperbolic structures. I
- Two-generated groups acting on trees
- On the rank of amalgamated products and product knot groups
- Pseudogroups of isometries of \(\mathbb{R}\) and Rips' theorem on free actions on \(\mathbb{R}\)-trees
- Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
- A classification of fully residually free groups of rank three or less
- Nielsen methods and groups acting on hyperbolic spaces
- Stable actions of groups on real trees
- Implicit function theorem over free groups.
- Limit groups and groups acting freely on \(\mathbb{R}^n\)-trees.
- A classification of conjugately separated abelian, commutative transitive, and restricted Gromov one-relator groups.
- FINITE INDEX SUBGROUPS OF FULLY RESIDUALLY FREE GROUPS
- THE NIELSEN METHOD FOR GROUPS ACTING ON TREES
- Equivalence Classes of Length Functions on Groups
- Complete Trees for Groups with a Real-Valued Length Function
- Pregroups and Bass-Serre theory
- Nielsen methods in groups with a length function.
- On Length Functions and Nielsen Methods in Free Groups
- Abstract length functions in groups
- ON POSITIVE THEORIES OF GROUPS WITH REGULAR FREE LENGTH FUNCTIONS
- FULLY RESIDUALLY FREE GROUPS AND GRAPHS LABELED BY INFINITE WORDS
- Real Length Functions in Groups
- Length Functions in Groups.
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