Homology of iterated semidirect products of free groups

Details Homology of iterated semidirect products of free groups Homology of iterated semidirect products of free groups

1995-03-07

arxiv.org/abs/alg-geom/9503002v1

Journal of Pure and Applied Algebra 126 (1998), no. 1-3, 87-120

Mathematics

Algebraic Geometry

31 pages. AMSTeX v 2.1 preprint style

Scientific paper

10.1016/S0022-4049(96)00153-3

Let $G$ be a group which admits the structure of an iterated semidirect product of finitely generated free groups. We construct a finite, free resolution of the integers over the group ring of $G$. This resolution is used to define representations of groups which act compatibly on $G$, generalizing classical constructions of Magnus, Burau, and Gassner. Our construction also yields algorithms for computing the homology of the Milnor fiber of a fiber-type hyperplane arrangement, and more generally, the homology of the complement of such an arrangement with coefficients in an arbitrary local system.

Affiliated with

Also associated with

No associations

Rating

Homology of iterated semidirect products of free groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Homology of iterated semidirect products of free groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homology of iterated semidirect products of free groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-238216