Vincent Beck

activity

20092024

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3 papers · 1 filter

math.GR2017

Torsion subgroups of quasi-abelianized braid groups

Vincent Beck, Ivan Marin

This article extends the works of Gonçalves, Guaschi, Ocampo [GGO] and Marin [MAR2] on finite subgroups of the quotients of generalized braid groups by the derived subgroup of thei…

math.GR2010

Abelianization of Subgroups of Reflection Group and their Braid Group; an Application to Cohomology

Vincent Beck

The final result of this article gives the order of the extension $$\xymatrix{1\ar[r] & P/[P,P] \ar^{j}[r] & B/[P,P] \ar^-{p}[r] & W \ar[r] & 1}$$ as an element of the cohomology g…

math.GR2009

Exterior Algebra Structure for Relative Invariants of Reflection Groups

Vincent Beck

Let $G$ be a reflection group acting on a vector space $V$ (over a field with zero characteristic). We denote by $S (V^{*})$ the coordinate ring of $V$ , by $M$ a finite dimensional $G…