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2010 The characterization of a line arrangement whose fundamental group of the complement is a direct sum of free groups
Meital Eliyahu, Eran Liberman, Malka Schaps, Mina Teicher
Algebr. Geom. Topol. 10(3): 1285-1304 (2010). DOI: 10.2140/agt.2010.10.1285

Abstract

Kwai Man Fan proved that if the intersection lattice of a line arrangement does not contain a cycle, then the fundamental group of its complement is a direct sum of infinite and cyclic free groups. He also conjectured that the converse is true as well. The main purpose of this paper is to prove this conjecture.

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Meital Eliyahu. Eran Liberman. Malka Schaps. Mina Teicher. "The characterization of a line arrangement whose fundamental group of the complement is a direct sum of free groups." Algebr. Geom. Topol. 10 (3) 1285 - 1304, 2010. https://doi.org/10.2140/agt.2010.10.1285

Information

Received: 26 February 2009; Revised: 14 October 2009; Accepted: 10 November 2009; Published: 2010
First available in Project Euclid: 19 December 2017

zbMATH: 1194.14028
MathSciNet: MR2661527
Digital Object Identifier: 10.2140/agt.2010.10.1285

Subjects:
Primary: 14F35, 32S22
Secondary: 14N30, 52C30

Rights: Copyright © 2010 Mathematical Sciences Publishers

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