Quotients of absolute Galois groups which determine the entire Galois cohomology (2009)
Chebolu, Sunil K., Efrat, Ido, Mináč, Ján
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 the absolute...
Galois module structure of Milnor K-theory in characteristic p (2009)
Ganesh Bh, Nicole Lemire, Ján Mináč, John Swallow
Abstract. Let E be a cyclic extension of degree p n of a field F of characteristic p. Using arithmetic invariants of E/F we determine kmE, the Milnor K-groups KmE modulo p, as Fp[Gal(E/F)]-modules...
Galois module structure of Milnor (2009)
Ján Mináč, Andrew Schultz, John Swallow
K-theory mod p s in characteristic p
Galois module structure of Milnor (2009)
Ján Mináč, Andrew Schultz, John Swallow
K-theory mod p s in characteristic p
Galois module structure of Milnor K-theory in characteristic p (2009)
Ganesh Bh, Nicole Lemire, Ján Mináč, John Swallow
Abstract. Let E be a cyclic extension of degree p n of a field F of characteristic p. Using arithmetic invariants of E/F we determine kmE, the Milnor K-groups KmE modulo p, as Fp[Gal(E/F)]-modules...
Absolute Galois groups viewed from small quotients and the Bloch-Kato conjecture (2009)
In this paper we concentrate on the relations between the structure of small Galois groups, arithmetic of fields, Bloch-Kato conjecture, and Galois groups of maximal pro-$p$-quotients of absolute...
Auslander-Reiten sequences for homotopists and arithmeticians (2008)
We introduce Auslander-Reiten sequences for group algebras and give several recent applications. The first part of the paper is devoted to some fundamental problems in Tate cohomology which are...
GALOIS GROUPS OVER NONRIGID FIELDS (2008)
Wenfeng Gao, David B. Leep, Ján Mináč, L. Smith
Abstract. Let F be a field with char F � = 2. We show that there are two groups of order 32, respectively 64, such that a field F with char F � = 2 is nonrigid if and only if at least one of the...
Ján Mináč, Andrew Schultz, John Swallow
Dedicated to the memory of Walter Feit Abstract. In the mid-1960s Borevič and Faddeev initiated the study of the Galois module structure of groups of pth-power classes of cyclic extensions K/F of...
Ján Mináč, Andrew Schultz, John Swallow
Dedicated to the memory of Walter Feit Abstract. In the mid-1960s Borevič and Faddeev initiated the study of the Galois module structure of groups of pth-power classes of cyclic extensions K/F of...
THE GENERATING HYPOTHESIS FOR THE STABLE MODULE CATEGORY (2008)
David J. Benson, Sunil K. Chebolu, J. Daniel Christensen, Ján Mináč
of a finite p-group G, is the statement that a map between finite-dimensional kG-modules factors through a projective if the induced map on Tate cohomology is trivial. We show that Freyd’s...
THE GENERATING HYPOTHESIS FOR THE STABLE MODULE CATEGORY (2008)
David J. Benson, Sunil K. Chebolu, J. Daniel Christensen, Ján Mináč
of a finite p-group G, is the statement that a map between finite-dimensional kG-modules factors through a projective if the induced map on Tate cohomology is trivial. We show that Freyd’s...
Additive structure of multiplicative subgroups of fields and Galois Theory (2008)
Louis Mahé, Ján Mináč, Tara L. Smith
Galois theory
Additive structure of multiplicative subgroups of fields and Galois theory (2007)
Louis Mahé, Ján Mináč, Tara L. Smith
One of the fundamental questions in current field theory, related to Grothendieck 's conjecture of birational anabelian geometry, is the investigation of the precise relationship between the...
Freyd's generating hypothesis for groups with periodic cohomology (2007)
Chebolu, Sunil K., Christensen, J. Daniel, Mináč, Ján
Let $G$ be a finite group and let $k$ be a field whose characteristic $p$ divides the order of $G$. Freyd's generating hypothesis for the stable module category of $G$ is the statement that a map...
Additive structure of multiplicative subgroups of fields and Galois theory (2001)
Mahé, Louis, Mináč, Ján, Smith, Tara L.
One of the fundamental questions in current field theory, related to Grothendieck's conjecture of birational anabelian geometry, is the investigation of the precise relationship between the Galois...
Some Galois extensions of quadratic extensions associated with Witt rings (2001)
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 information about...