Title  Alexander Invariants of Complex Hyperplane Arrangements 
Author(s)  Daniel C. Cohen, Alexander I. Suciu 
Type  Article in Journal 
Abstract  Let $A$ be an arrangement of $n$ complex hyperplanes. The fundamental group of the complement of $A$ is determined by a braid monodromy homomorphism, $a :F_{s}to P_{n}$. Using the Gassner
representation of the pure braid group, we find an explicit presentation for the Alexander invariant of $A$. From this presentation, we obtain combinatorial lower bounds for the ranks of
the Chen groups of $A$. We also provide a combinatorial criterion for when these lower bounds are attained. 
Keywords  Alexander invariants; Chen groups; Gassner representation; fundamental groups; braid monodromy homomorphisms; pure braid groups; presentations 
Length  25 
ISSN  00029947 
File 

URL 
http://www.ams.org/journalgetitem?pii=S0002994799022060 
Language  English 
Journal  Transactions of the American Mathematical Society 
Volume  351 
Number  10 
Pages  40434067 
Publisher  American Mathematical Society 
Address  Providence, RI 
Year  1999 
Edition  0 
Translation 
No 
Refereed 
Yes 