M. Boggi

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20242026

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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.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…

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

Finite subgroups of the profinite completion of good groups

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