L. Paris

activity

19992011

most citedIrreducible Coxeter groups

21 citations · 56 across the 14 of their papers we have counts for

collaborators

Showing 2007Show all

4 papers · 1 filter

math.GT2007

Small index subgroups of the mapping class group

Luis Paris

We prove that the mapping class group of a closed oriented surface of genus $ρ \geq 3$ has no proper subgroup of index $\leq 4 ρ + 4$ .

math.GR2007★ 16 cited

Braid groups and Artin groups

Luis Paris

This article is a survey on the braid groups, the Artin groups, and the Garside groups. It is a presentation, accessible to non-experts, of various topological and algebraic aspect…

math.GT2007★ 2 cited

Singular Hecke algebras, Markov traces, and HOMFLY-type invariants

Luis Paris, Loic Rabenda

We define the singular Hecke algebra $H (S B_{n})$ as the quotient of the singular braid monoid algebra $C (q) [S B_{n}]$ by the Hecke relations $σ_k^2 = (q-1) σ_k +…

math.GR2007★ 1 cited

Residual $p$ properties of mapping class groups and surface groups

Luis Paris

Let $M (Σ, P)$ be the mapping class group of a punctured oriented surface $(Σ, P)$ (where $P$ may be empty), and let $\mathcal T_p(Σ,\mathcal P)…

Small index subgroups of the mapping class group

Braid groups and Artin groups

Singular Hecke algebras, Markov traces, and HOMFLY-type invariants

Residual p properties of mapping class groups and surface groups

Residual $p$ properties of mapping class groups and surface groups