By Ian Chiswell
The speculation of R-trees is a well-established and critical quarter of geometric crew conception and during this publication the authors introduce a development that gives a brand new standpoint on crew activities on R-trees. They build a gaggle RF(G), outfitted with an motion on an R-tree, whose components are yes features from a compact genuine period to the crowd G. in addition they learn the constitution of RF(G), together with a close description of centralizers of parts and an research of its subgroups and quotients. Any staff performing freely on an R-tree embeds in RF(G) for a few number of G. a lot continues to be performed to appreciate RF(G), and the huge record of open difficulties integrated in an appendix may in all probability bring about new equipment for investigating workforce activities on R-trees, quite unfastened activities. This e-book will curiosity all geometric team theorists and version theorists whose learn contains R-trees.
Read or Download A Universal Construction for Groups Acting Freely on Real Trees (Cambridge Tracts in Mathematics) PDF
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