Geometric Group Theory Geneva and Barcelona Conferences

This volume assembles research papers in geometric and combinatorial group theory. This wide area may be defined as the study of those groups that are defined by their action on a combinatorial or geometric object, in the spirit of Klein’s programme. The

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Material submitted for publication must be screened and prepared as follows: All contributions should undergo a reviewing process similar to that carried out by journals and be checked for correct use of language which, as a rule, is English. Articles without SURRIVRUZKLFKGRQRWFRQWDLQDQ\VLJQL½FDQWO\QHZUHVXOWVVKRXOGEHUHMHFWHG+LJK quality survey papers, however, are welcome. We expect the organizers to deliver manuscripts in a form that is essentially ready for GLUHFWUHSURGXFWLRQ$Q\YHUVLRQRI7H;LVDFFHSWDEOHEXWWKHHQWLUHFROOHFWLRQRI½OHVPXVW EHLQRQHSDUWLFXODUGLDOHFWRI7H;DQGXQL½HGDFFRUGLQJWRVLPSOHLQVWUXFWLRQVDYDLODEOH from Birkhäuser. Furthermore, in order to guarantee the timely appearance of the proceedings it is essential WKDWWKH½QDOYHUVLRQRIWKHHQWLUHPDWHULDOEHVXEPLWWHGQRODWHUWKDQRQH\HDUDIWHUWKH FRQIHUHQFH7KHWRWDOQXPEHURISDJHVVKRXOGQRWH[FHHG7KH½UVWPHQWLRQHGDXWKRU of each article will receive 25 free offprints. To the participants of the congress the book will be offered at a special rate.

Geometric Group Theory Geneva and Barcelona Conferences

Goulnara N. Arzhantseva Laurent Bartholdi José Burillo Enric Ventura Editors

Birkhäuser Basel · Boston · Berlin

Editors: Goulnara N. Arzhantseva Université de Genève Section de mathématiques 2–4, rue du Lièvre Case postale 64 1211 Genève 4 Switzerland e-mail : [email protected]

José Burillo Departament de Matemàtica Aplicada IV Universitat Politècnica de Catalunya Escola Politècnica Superior de Castelldefels Avda. Del Canal Olímpic s/n 08860 Castelldefels (Barcelona) Spain e-mail: [email protected]

Laurent Bartholdi École Polytechnique Fédérale de Lausanne (EPFL) Institut de Mathématiques B (IMB) 1015 Lausanne Switzerland HPDLOODXUHQWEDUWKROGL#HS¾FK

Enric Ventura Department of Applied Mathematics III Escola Politècnica Superior d’Enginyeria de Manresa Universitat Politècnica de Catalunya Av. Bases de Manresa 61–73 0DQUHVD%DUFHORQD Spain e-mail: [email protected]



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ISBN 978-3-7643-8411-1 Birkhäuser Verlag AG, Basel - Boston - Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the materiDOLVFRQFHUQHGVSHFL½FDOO\WKHULJKWVRIWUDQVODWLRQUHSULQWLQJUHXVHRILOOXVWUDWLRQVUHFLWDWLRQEURDGFDVWLQJUHSURGXFWLRQRQPLFUR½OPVRULQRWKHUZD\VDQGVWRUDJHLQGDWDEDQNV)RU any kind of use permission of the copyright owner must be obtained.

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