4 papers · 1 filter
A complete classification of perfect unitary Cayley graphs
Ján Mináč, Tung T. Nguyen, Nguyen Duy Tân
Due to their elegant and simple nature, unitary Cayley graphs have been an active research topic in the literature. These graphs are naturally connected to several branches of math…
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 .…
On the gcd graphs over polynomial rings
Ján Mináč, Tung T. Nguyen, Nguyen Duy Tân
Gcd-graphs over the ring of integers modulo are a natural generalization of unitary Cayley graphs. The study of these graphs has foundations in various mathematical fields, inc…
The Bloch--Kato conjecture, decomposing fields, and generating cohomology in degree one
Sunil K. Chebolu, Ján Mináč, Cihan Okay +2
The famous Bloch--Kato conjecture implies that for a field containing a primitive th root of unity, the cohomology ring of the absolute Galois group of with $\math…