For a prime number, we introduce and study oriented right-angled Artin pro-groups (oriented
pro-RAAGs for short) associated to a finite oriented graph and a continuous group …

Let p be a prime number, F a field containing a root of unity of order p, and GF the absolute
Galois group. Extending results of Hopkins, Wickelgren, Minác and Tân, we prove that the …

We prove that, for all fields F of characteristic different from 2 and all a; b; c 2 F, the mod 2
Massey product ha; b; c; ai vanishes as soon as it is defined. For every field F0, we construct …

Triple Massey products vanish over all fields | Journal of the London Mathematical Society |
Oxford Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search …

Let p be a prime. We prove that a positive solution to Efrat's Elementary Type Conjecture
implies a positive solution to a strengthened version of Minač–Tân's Massey Vanishing …

Let p be a prime. We study pro-p groups of p-absolute Galois type, as defined by Lam–Liu–
Sharifi–Wake–Wang. We prove that the pro-p completion of the right-angled Artin group …

For a prime number p, we give a new restriction on pro-p groups G which are realizable as
the maximal pro-p Galois group GF (p) for a field F containing a root of unity of order p. This …

arXiv:2301.09290v1 [math.NT] 23 Jan 2023 Page 1 arXiv:2301.09290v1 [math.NT] 23 Jan 2023
THE MASSEY VANISHING CONJECTURE FOR FOURFOLD MASSEY PRODUCTS MODULO …

Let p be a prime. A continuous representation θ: G→ GL1 (Zp) of a profinite group G is called
a cyclotomic p-orientation if for all open subgroups U⊆ G and for all k, n≥ 1 the natural …

Given a profinite group G of finite p-cohomological dimension and a pro-p quotient H of G by
a closed normal subgroup N, we study the filtration on the Iwasawa cohomology of N by …