A Universal Construction for Groups Acting Freely on Real by Ian Chiswell,Thomas Müller PDF

By Ian Chiswell,Thomas Müller

ISBN-10: 1107024811

ISBN-13: 9781107024816

the speculation of R-trees is a well-established and demanding region of geometric workforce concept and during this e-book the authors introduce a building that gives a brand new viewpoint on crew activities on R-trees. They build a bunch RF(G), built with an motion on an R-tree, whose parts are definite capabilities from a compact actual period to the crowd G. additionally they examine the constitution of RF(G), together with a close description of centralizers of parts and an research of its subgroups and quotients. Any team performing freely on an R-tree embeds in RF(G) for a few selection of G. a lot continues to be performed to appreciate RF(G), and the broad record of open difficulties incorporated in an appendix may perhaps probably result in new tools for investigating team activities on R-trees, fairly loose activities. This publication will curiosity all geometric staff theorists and version theorists whose study includes R-trees.

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A Universal Construction for Groups Acting Freely on Real Trees (Cambridge Tracts in Mathematics, 195) by Ian Chiswell,Thomas Müller

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