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Titlebook: Arboreal Group Theory; Proceedings of a Wor Roger C. Alperin Conference proceedings 1991 Springer-Verlag New York, Inc. 1991 Group theory.a

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楼主: 投射技术
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Akram Salem,Philippe Canalda,François Spies], we showed that if a) . is finitely presented and b) . ×. → . satisfies certain other conditions reviewed below, then the number of vertices and edges of . is bounded in terms of . alone. The main point of this paper is to produce actions .. ×. → . of a fixed finitely generated group which satisfy
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https://doi.org/10.1007/978-3-642-37419-7ty like a tree. Considering the action of a negatively curved group on one of its Cayley graphs, we study asymptotic directions in the set of conjugacy classes of this group. We then discuss some applications to group actions on ℝ — trees and manifolds of negative curvature.
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https://doi.org/10.1007/978-3-642-37419-7 go back to Baer [.]. A pregroup is a set with a partial multiplication having certain group-like properties, to which one can associate a group (the universal group of the pregroup), and there is a normal form for the elements of the group in terms of the pregroup. This generalises the construction
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https://doi.org/10.1007/978-94-011-7423-7ons of the form .: [0, .] → ℝ with at most a finite number of discontinuities, where . ∈ ℝ is a non-negative real number. The multiplication in . is reminiscent of the path multiplication used to construct the fundamental group of a topological space.
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Evaluating Business and Industry Trainingthis mimics the author’s topological proof, but some new consequences are drawn. Theorems of Shenitzer and Swarup on amalgamations and HNN-extensions over cyclic subgroups are deduced as a consequence and somewhat generalized.
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