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The Nielsen Method For Groups Acting on Trees

Proceedings of the London Mathematical Society, 2002
Geometric 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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Theory of groups that act on trees

Algebra and Logic, 1983
The 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, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Groups acting on trees

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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On Groups Acting On Trees.

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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Groups Acting on Trees

2017
This chapter considers groups acting on trees. It examines which groups act on which spaces and, if a group does act on a space, what it says about the group. These spaces are called trees—that is, connected graphs without cycles. A group action on a tree is free if no nontrivial element of the group preserves any vertex or any edge of the tree.
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Rigidity of Branch Groups Acting on Rooted Trees

Geometriae Dedicata, 2002
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Lavreniuk, Yaroslav   +1 more
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