Showing 2026Show all
2 papers · 1 filter
math.NT2026
A cohomological translation of the Kaplansky radical for profinite groups
Simone Blumer, Julian Feuerpfeil, Lucas Correa Lopes +1
The Kaplansky radical of a field consists of the nonzero elements represented by every norm quadratic form in two variables. D. Kijima and M. Nishi conjectured that, for quadratic…
math.GR2026
Variations of Demushkin Groups that are not Absolute Galois Groups
Simone Blumer, Claudio Quadrelli
We construct two families of examples of pro-p groups, with rather elementary presentations, that do not complete into 1-cyclotomic oriented pro-p groups. These provide brand new e…