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math.NT2010★ 5 cited
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…
math.HO2010
Counting irreducible polynomials over finite fields using the inclusion-exclusion principle
Sunil K. Chebolu, Jan Minac
C. F. Gauss discovered a beautiful formula for the number of irreducible polynomials of a given degree over a finite field. Assuming just a few elementary facts in field theory and…