Searcharxiv⌕ Search

arXiv subjects

Sylvain Gervais

Publications and source records attributed to Sylvain Gervais.

4 recordsLinked to original sources
arXiv2014

On p-almost direct products and residual properties of pure braid groups of nonorientable surfaces

We prove that the n th pure braid group of a nonorientable surface (closed or with boundary, but different from RP2) is residually 2-finite. Consequently, this group is residually nilpotent. The key ingredient in the closed case is the notion of p-almost direct product, which is a generalization of the notion of almost direct product. We prove therefore also some results on lower central series and augmentation ideals of p-almost direct products.

math.GT↗
arXiv2010

Surface framed braids

In this paper we introduce the framed pure braid group on $n$ strands of an oriented surface, a topological generalisation of the pure braid group $P_n$. We give different equivalents definitions for framed pure braid groups and we study exact sequences relating these groups with other generalisations of $P_n$, usually called surface pure braid groups. The notion of surface framed braid groups is also introduced.

math.GT↗