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null Abért, Miklós / Borovik, Alexandre V. / Boston, Nigel / Bridson, Martin R. / Broue, Michel / Giovanni, Francesco / Guralnick, Robert / Jaikin Zapirain, Andrei / Kantor, William M. / Khukhro, Evgenii I. / Kochloukova, Dessislava H. / Malle, Gunter / Olshanskii, Alexander / Robinson, Derek J.S. / Willis, George
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1Department of Mathematics, Statistics and Computer Science, University of Wisconsin-Stout, Menomonie, WI 54751, United States
2Department of Mathematics, Trinity College, Hartford, CT 06106, United States
3Department of Mathematics, Bowdoin College, Brunswick, ME 04011, United States
Citation Information: Journal of Group Theory. Volume 15, Issue 1, Pages 37–45, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/JGT.2010.093, January 2012
Publication History:
We prove that Thompson's group F is not minimally almost convex with respect to any generating set which is a subset of the standard infinite generating set for F and which contains x 1. We use this to show that F is not almost convex with respect to any generating set which is a subset of the standard infinite generating set, generalizing results in Horak, Stein, and Taback, Int. J. Algebra Comput. 19: 963997, 2009.
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