Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 51, No. 3, pp. 363-373 (1994)

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On the Center of the Fundamental Group of the Complement of a Hyperplane Arrangement

Raul Cordovil

Dep. de Matemática, I.S.T. and C.M.A.F.-U.L.,
Av. Prof. Gama Pinto, 2, 1699 Lisboa Codex - PORTUGAL

Abstract: Let ${\cal A}$ be a simplicial hyperplane arrangement in ${{\bf R}^d}$. We prove that the center of the fundamental group of the manifold ${\bf C}^d\backslash\bigcup\{{H\otimes {\bf C}}: H\in {\cal A\}}$ is a direct product of infinite cyclic subgroups.

Classification (MSC2000): 55P20; 05B35

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