11 citations · 20 across the 8 of their papers we have counts for
9 papers
Conjugation-free groups, lower central series and line arrangements
Michael Friedman
The quotients of the lower central series of a finitely presented group are an important invariant of this group. In this work we investigate the ranks of these q…
On the structure of fundamental groups of conic-line arrangements having a cycle in their graph
Michael Friedman, David Garber
The fundamental group of the complement of a plane curve is a very important topological invariant. In particular, it is interesting to find out whether this group is determined by…
On Left regular bands and real Conic-Line arrangements
Michael Friedman, David Garber
An arrangement of curves in the real plane divides it into a collection of faces. In the case of line arrangements, there exists an associative product which gives this collection…
On the structure of conjugation-free fundamental groups of conic-line arrangements
Michael Friedman, David Garber
The fundamental group of the complement of a hyperplane arrangement plays an important role in studying the corresponding arrangements. In particular, for large families of hyperpl…
On fundamental groups related to degeneratable surfaces: conjectures and examples
Michael Friedman, Mina Teicher
We argue that for a smooth surface S, considered as a ramified cover over the projective plane branched over a nodal-cuspidal curve B one could use the structure of the fundamental…
On ramified covers of the projective plane I: Segre's theory and classification in small degrees, with Appendix by Eugenii Shustin
Michael Friedman, Maxim Leyenson
We study ramified covers of the projective plane. Given a smooth projective surface S and a generic enough projection of S to the projective plane, we get a cover of the plane rami…