J. Mináč

activity

19982026

most citedTriple Massey products vanish over all fields

33 citations · 343 across the 69 of their papers we have counts for

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6 papers · 1 filter

math.GR2025

Zassenhaus filtrations as intersections

Jan Minac, Nguyen Duy Tan, Nguyen Thi Tra

Zassenhaus filtrations of profinite groups are an important tool to study profinite groups.In this paper, we describe Zassenhaus filtrations of profinite groups as intersections of…

math.GR2021★ 5 cited

Mild pro-p groups and the Koszulity conjectures

Jan Minac, Federico Pasini, Claudio Quadrelli +1

Let $p$ be a prime, and $F_{p}$ the field with $p$ elements. We prove that if $G$ is a mild pro- $p$ group with quadratic $F_{p}$ -cohomology algebra $H^\bullet(G,\math…

math.GR2014★ 2 cited

Dimensions of Zassenhaus filtration subquotients of some pro- $p$ -groups

Jan Minac, Michael Rogelstad, Nguyen Duy Tan

We compute the $F_{p}$ -dimension of an $n$ -th graded piece $G_{(n)} / G_{(n + 1)}$ of the Zassenhaus filtration for various finitely generated pro- $p$ -groups $G$ . These groups…

math.GR2009

Quotients of absolute Galois groups which determine the entire Galois cohomology

Sunil K. Chebolu, Ido Efrat, Ján Mináč

For prime power $q = p^{d}$ and a field $F$ containing a root of unity of order $q$ we show that the Galois cohomology ring $H^*(G_F,\dbZ/q)$ is determined by a quotient $G_{F}^{[3]}$ of…

math.GR2003★ 1 cited

Trace forms of Galois extensions in the presence of a fourth root of unity

J. Minac, Z. Reichstein

We study quadratic forms that can occur as trace forms of Galois field extensions L/K, under the assumption that K contains a primitive 4th root of unity. M. Epkenhans conjectured…

math.GR2001

Some Galois extensions of quadratic extensions associated with Witt rings

Wenfeng Gao, Ján Mináč

A Galois field extension $E / F$ whose Galois group is a pro-2-group of an exponent of at most 8, with a nilpotency class of at most 4, is determined, such that it contains essential…