By Ian Chiswell,Thomas Müller

ISBN-10: 1107024811

ISBN-13: 9781107024816

the speculation of R-trees is a well-established and significant zone of geometric crew concept and during this publication the authors introduce a development that gives a brand new standpoint on crew activities on R-trees. They build a bunch RF(G), outfitted with an motion on an R-tree, whose parts are definite capabilities from a compact actual period to the crowd G. additionally they research the constitution of RF(G), together with an in depth description of centralizers of components and an research of its subgroups and quotients. Any crew 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 wide record of open difficulties incorporated in an appendix may well almost certainly result in new equipment for investigating workforce activities on R-trees, rather unfastened activities. This ebook will curiosity all geometric team theorists and version theorists whose examine comprises 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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