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.
Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients / Bartolo, Enrique Artal; Guerville-Ballé, Benoît; Viu-Sos, Juan. - In: EXPERIMENTAL MATHEMATICS. - ISSN 1058-6458. - 29:1(2018), pp. 28-35. [10.1080/10586458.2018.1428131]
Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients
Guerville-Ballé, Benoît
;
2018-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
