24 citations · 24 across the 1 of their papers we have counts for
4 papers
Two families of pro-p groups that are not absolute Galois groups
Claudio Quadrelli
Let be a prime. We produce two new families of pro- groups which are not realizable as absolute Galois groups of fields. To prove this we use the 1-smoothness property of ab…
Right-angled Artin groups and enhanced Koszul properties
Alberto Cassella, Claudio Quadrelli
Let F be a finite field. We prove that the cohomology algebra with coefficients in F of a right-angled Artin group is a strongly Koszul algebra for every finite graph . Moreover…
Koszul algebras and quadratic duals in Galois cohomology
Jan Minac, Federico W. Pasini, Claudio Quadrelli +1
We investigate the Galois cohomology of finitely generated maximal pro- quotients of absolute Galois groups. Assuming the well-known conjectural description of these groups, we…
Bloch-Kato pro-p groups and locally powerful groups
Claudio Quadrelli
A Bloch-Kato pro-p group G is a pro-p group with the property that the F_p-cohomology ring of every closed subgroup of G is quadratic. It is shown that either such a pro-p group G…