activity
20002025
most citedConfiguration Lie groupoids and orbifold braid groups

12 citations · 78 across the 28 of their papers we have counts for

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7 papers · 1 filter

math.KT2015

The isomorphism conjecture for Artin groups

S. K. Roushon

We prove the Farrell-Jones fibered isomorphism conjecture for several classes of Artin groups of finite and affine types. As a consequence, we compute explicitly the surgery obstru…

math.KT2009★ 4 cited

Surgery groups of the fundamental groups of hyperplane arrangement complements

S. Roushon

Using a recent result of Bartels and Lueck (arXiv:0901.0442) we deduce that the Farrell-Jones Fibered Isomorphism conjecture in L-theory is true for any group which contains a fini…

math.KT2007★ 6 cited

The isomorphism conjecture in L-theory: graphs of groups

S. K. Roushon

We study the Fibered Isomorphism Conjecture of Farrell and Jones in L-theory for groups acting on trees. In several cases we prove the conjecture. This includes wreath products of…

math.KT2007

L-theory of groups with unstable derived series

S. K. Roushon

In this short note we prove that the Farrell-Jones Fibered Isomorphism Conjecture in L-theory, after inverting 2, is true for a group whose some derived subgroup is free.

math.KT2007★ 1 cited

The isomorphism conjecture in L-theory

S. K. Roushon

This is the first of three articles on the Fibered Isomorphism Conjecture of Farrell and Jones for L-theory. We apply the general techniques developed in [15] and [16] to the L-the…

math.KT2006★ 6 cited

Algebraic K-theory of groups wreath product with finite groups

S. K. Roushon

The Farrell-Jones Fibered Isomorphism Conjecture for the stable topological pseudoisotopy theory has been proved for several classes of groups. For example for discrete subgroups o…

math.KT2005★ 9 cited

On the isomorphism conjecture for groups acting on trees

S. K. Roushon

We study the Fibered Isomorphism conjecture of Farrell and Jones for groups acting on trees. We show that under certain conditions the conjecture is true for groups acting on trees…