M. Boggi

activity

20242026

collaborators

6 papers

math.GT2026

Automorphisms of profinite mapping class groups

Marco Boggi

For $S = S_{g, n}$ a closed orientable differentiable surface of genus $g$ from which $n$ points have been removed, such that $I ¨ (S) = 2 - 2 g - n < 0$ , let $P I^ (S)$ be the pure mappi…

math.GR2026

Lannes' $T$ -functor and mod- $p$ cohomology of profinite groups

Marco Boggi

The Lannes-Quillen theorem relates the mod- $p$ cohomology of a finite group $G$ with the mod- $p$ cohomology of centralizers of abelian elementary $p$ -subgroups of $G$ , for $p > 0$ a…

math.GT2026

A congruence subgroup property for symmetric mapping class groups

Marco Boggi

We prove the congruence subgroup property for the centralizer of a finite subgroup $G$ in the mapping class group of a hyperbolic oriented and connected surface of finite topologic…

math.GT2026

Automorphisms of the procongruence pants complex

Marco Boggi, Louis Funar

We show that every automorphism of the congruence completion of the extended mapping class group that preserves the set of conjugacy classes of procyclic groups generated by Dehn t…

math.GT2025

A generating set for the Johnson kernel

Marco Boggi

For a connected orientable hyperbolic surface $S$ without boundary and of finite topological type, the Johnson kernel $K (S)$ is the subgroup of the mapping class group o…

math.GR2024

Finite subgroups of the profinite completion of good groups

Marco Boggi, Pavel Zalesskii

Let $G$ be a residually finite, good group of finite virtual cohomological dimension. We prove that the natural monomorphism $G ↪ G^$ induces a bijective correspon…

Automorphisms of profinite mapping class groups

Lannes' T-functor and mod-p cohomology of profinite groups

A congruence subgroup property for symmetric mapping class groups

Automorphisms of the procongruence pants complex

A generating set for the Johnson kernel

Finite subgroups of the profinite completion of good groups

Lannes' $T$ -functor and mod- $p$ cohomology of profinite groups