8 citations · 20 across the 13 of their papers we have counts for
20 papers
On s-split p-Hilbert class field towers with prescribed Galois groups
Christian Maire, Karim Sankara
In this work, we show that given a finite p-group G, a number field K having a trivial p-class group Cl K , and a finite set of primes S of K, there exists a finite extension F/K s…
On the strong Massey property for number fields
Christian Maire, Ján Mináč, Ravi Ramakrishna +1
Let . We show that for every number field with , the absolute and tame Galois groups of satisfy the strong -fold Massey property relative to .…
Genus theory, governing field, ramification and Frobenius
Roslan Ibara Ngiza Mfumu, Christian Maire
In this work we develop, through a governing field, genus theory for a number field $\K$ with tame ramification in and splitting in , where and are finite disjoint s…
On tamely ramified infinite Galois extensions
Farshid Hajir, Michael Larsen, Christian Maire +1
For a number field , we consider the maximal tamely ramified algebraic extension of~, and its Galois group . Choose a prime such…
On the analyticity of the maximal extension of a number field with prescribed ramification and splitting
Donghyeok Lim, Christian Maire
We determine all the -adic analytic groups that are realizable as Galois groups of the maximal pro- extensions of number fields with prescribed ramification and splitting und…
On tame extensions with prescribed ramification
Farshid Hajir, Christian Maire, Ravi Ramakrishna
The tame Gras-Munnier Theorem gives a criterion for the existence of a -extension of a number field ramified at exactly a set of places of prim…