24 citations · 40 across the 7 of their papers we have counts for
7 papers
Residually Torsion-Free Nilpotent One Relator Groups
John Labute
We show that certain cyclically pinched one-relator groups are residually torsion-free nilpotent.
Linking Numbers and the Tame Fontaine-Mazur Conjecture
John Labute
Let p be an odd prime, let S be a finite set of primes q congruent to 1 mod p but not mod p^2 and let G_S be the Galois group of the maximal p-extension of Q un-ramified outside of…
The Bloch-Kato Conjecture and Galois Theory
Dikran Karagueuzian, John Labute, Jan Minac
We investigate the relations in Galois groups of maximal p-extensions of fields, the structure of their natural filtrations, and their relationship with the Bloch-Kato conjecture p…
Mild pro-2-groups and 2-extensions of Q with restricted ramification
John Labute, Jan Minac
Using the mixed Lie algebras of Lazard, we extend the results of the first author on mild groups to the case p=2. In particular, we show that for any finite set S_0 of odd rational…
Mild pro-p-groups with 4 generators
Michael R. Bush, John Labute
Let p be an odd prime and S a finite set of primes = 1 mod p. We give an effective criterion for determining when the Galois group G=G_S(p) of the maximal p-extension of Q unramifi…
Demuskin groups, Galois modules, and the elementary type conjecture
John Labute, Nicole Lemire, Jan Minac +1
Let p be a prime and F(p) the maximal p-extension of a field F containing a primitive p-th root of unity. We give a new characterization of Demuskin groups among Galois groups Gal(…