caa a22 4500 445836598 CHVBK 20180317145331.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00209-010-0759-5 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0759-5 Tame combing and almost convexity conditions [Elektronische Daten] [Sean Cleary, Susan Hermiller, Melanie Stein, Jennifer Taback] We give the first examples of groups which admit a tame combing with linear radial tameness function with respect to any choice of finite presentation, but which are not minimally almost convex on a standard generating set. Namely, we explicitly construct such combings for Thompson's group F and the Baumslag-Solitar groups BS(1, p) with p ≥ 3. In order to make this construction for Thompson's group F, we significantly expand the understanding of the Cayley complex of this group with respect to the standard finite presentation. In particular we describe a quasigeodesic set of normal forms and combinatorially classify the arrangements of 2-cells adjacent to edges that do not lie on normal form paths. Springer-Verlag, 2010 Cleary Sean Department of Mathematics, The City College of New York, The City University of New York, 10031, New York, NY, USA aut Hermiller Susan Department of Mathematics, University of Nebraska, 68588, Lincoln, NE, USA aut Stein Melanie Department of Mathematics, Trinity College, 06106, Hartford, CT, USA aut Taback Jennifer Department of Mathematics, Bowdoin College, 04011, Brunswick, ME, USA aut Mathematische Zeitschrift Springer-Verlag 269/3-4(2011-12-01), 879-915 0025-5874 269:3-4<879 2011 269 209 https://doi.org/10.1007/s00209-010-0759-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0759-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cleary Sean Department of Mathematics, The City College of New York, The City University of New York, 10031, New York, NY, USA aut NATIONALLICENCE 700 1- Hermiller Susan Department of Mathematics, University of Nebraska, 68588, Lincoln, NE, USA aut NATIONALLICENCE 700 1- Stein Melanie Department of Mathematics, Trinity College, 06106, Hartford, CT, USA aut NATIONALLICENCE 700 1- Taback Jennifer Department of Mathematics, Bowdoin College, 04011, Brunswick, ME, USA aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/3-4(2011-12-01), 879-915 0025-5874 269:3-4<879 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer