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Membership Problem in groups acting freely on Zn-trees
Groups acting freely on Zn-trees (Zn-free groups) play a key role in the study of non-archimedean group actions. Following Stallingsʼ ideas, we develop graph-theoretic techniques to investigate subgroup structure of Zn-free groups.
Andrey Nikolaev
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Hecke algebras from groups acting on trees and HNN extensions
We study Hecke algebras of groups acting on trees with respect to geometrically defined subgroups. In particular, we consider Hecke algebras of groups of automorphisms of locally finite trees with respect to vertex and edge stabilizers and the stabilizer
Udo Baumgartner +2 more
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GGS-groups acting on trees of growing degrees
We consider analogues of Grigorchuk-Gupta-Sidki (GGS-)groups acting on trees of growing degree; the so-called growing GGS-groups. These groups are not just infinite and do not possess the congruence subgroup property, but many of them are branch and have
Anitha Thillaisundaram
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Centralizers on Groups Acting on Trees and Bass' Conjecture
Communications in Algebra, 2002exaly +2 more sources
The Nielsen Method For Groups Acting on Trees
Proceedings of the London Mathematical Society, 2002Geometric Nielsen methods are developed to study finitely generated subgroups of fundamental groups of graphs of groups. Ideas of H. Zieschang who applied Nielsen methods to free groups are generalized. When the group action is \(k\)-cylindrical, then the theory developed admits new results.
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1993
The exposition in this chapter is based on, and sometimes follows very closely, the book by Jean-Pierre Serre: Trees, Translated from the French by John Stillwell, Springer-Verlag, Berlin, Heidelberg, New York (1980). The reader should consult this work for more details, if needed.
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The exposition in this chapter is based on, and sometimes follows very closely, the book by Jean-Pierre Serre: Trees, Translated from the French by John Stillwell, Springer-Verlag, Berlin, Heidelberg, New York (1980). The reader should consult this work for more details, if needed.
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1973
PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/190476/2/7415688 ...
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PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/190476/2/7415688 ...
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Theory of groups that act on trees
Algebra and Logic, 1983The author gives a combinatorial proof of the well known theorem of Bass and \textit{J.-P. Serre} [Arbres, amalgams, \(SL_ 2\), Astérisque 46 (1977; Zbl 0369.20013)] on the structure of groups acting on trees. His proof is based on a theorem of \textit{A. M. Macbeath} [Ann. Math., II. Ser.
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On groups acting freely on a tree
Archiv der Mathematik, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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