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Titlebook: Infinite Groups: Geometric, Combinatorial and Dynamical Aspects; Laurent Bartholdi,Tullio Ceccherini-Silberstein,An Book 2005 Birkhäuser B

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Infinite Groups: Geometric, Combinatorial and Dynamical Aspects978-3-7643-7447-1Series ISSN 0743-1643 Series E-ISSN 2296-505X
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The Finitary Andrews-Curtis Conjecture,nents of the Andrews-Curtis graphs of finite groups. This finite version has independent importance for computational group theory. It also resolves a question asked in [.] and shows that a computation in finite groups cannot lead to a counterexample to the classical conjecture, as suggested in [.].
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,Cuts in Kähler Groups,We study fundamental groups of Kähler manifolds via their cuts or relative ends.
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Infinite Algebras and Pro-, Groups,We discuss three areas where infinite dimensional algebras meet pro-. groups: (1) the linearity problem for free pro-. groups, (2) asymptotic properties of Golod-Shafarevich groups, (3) algebras with property (.).
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Algebraic Mapping-Class Groups of Orientable Surfaces with Boundaries,p of ...We define the algebraic mapping-class group of ., denoted by Out., and observe that topologists have shown that Out. is naturally isomorphic to the topological mapping-class group of ...We study the algebraic version . of Mess’s exact sequence that arises from filling in the interior of the
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Cubature Formulas, Geometrical Designs, Reproducing Kernels, and Markov Operators,erators associated to orthogonal group representations on the other hand. In this way, several known results for spheres in Euclidean spaces, involving cubature formulas for polynomial functions and spherical designs, are shown to generalize to large classes of finite measure spaces (Ω, .) and appro
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