88226 20210902121558.0 doi 10.1080/10586458.2018.1428131 sideral 109950 ART-2020-109950 eng Artal Bartolo, Enrique Universidad de Zaragoza (orcid)0000-0002-8276-5116 Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients 2020 Access copy available to the general public Unrestricted By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its intersection lattice, providing a counter-example for a problem of Falk and Randell. We also deduce that the torsion of the lower central series quotients is not combinatorially determined, which gives a negative answer to a question of Suciu. info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.814 2020 MATHEMATICS 209 / 330 = 0.633 2020 Q3 T2 0.421 2020 Mathematics (miscellaneous) 2020 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Guerville-Ballé, Benoît Viu-Sos, Juan 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 29, 1 (2020), 28-35 Exp. math. EXPERIMENTAL MATHEMATICS 1058-6458 457749 http://zaguan.unizar.es/record/88226/files/texto_completo.pdf Postprint 373335 http://zaguan.unizar.es/record/88226/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:88226 articulos driver 2021-09-02-08:33:44 ARTICLE