Results 1 to 10 of about 10,423 (78)
Homotopy theory of Hopf Galois extensions [PDF]
, 2004 We introduce the concept of homotopy equivalence for Hopf Galois extensions and make a systematic study of it. As an application we determine all H-Galois extensions up to homotopy equivalence in the case when H is a Drinfeld-Jimbo quantum group.Comment:
Kassel, Christian +1 more
core +7 more sources
Period and index, symbol lengths, and generic splittings in Galois cohomology [PDF]
, 2015 We use constructions of versal cohomology classes based on a new notion of "presentable functors," to describe a relationship between the problems of bounding symbol length in cohomology and of finding the minimal degree of a splitting field.
Krashen, Daniel
core +1 more source
Leading terms of Artin L-series at negative integers and annihilation of higher K-groups [PDF]
, 2010 Let L/K be a finite Galois extension of number fields with Galois group G. We use leading terms of Artin L-series at strictly negative integers to construct elements which we conjecture to lie in the annihilator ideal associated to the Galois action on ...
Nickel, Andreas
core +1 more source
Definability of linear equation systems over groups and rings [PDF]
, 2012 Motivated by the quest for a logic for PTIME and recent insights that the descriptive complexity of problems from linear algebra is a crucial aspect of this problem, we study the solvability of linear equation systems over finite groups and rings from ...
Anuj Dawar +5 more
core +6 more sources
, 2010 Let $G$ be a finite $p$-group and $k$ a field of characteristic $p>0$. We show that $G$ has a \emph{non-linear} faithful action on a polynomial ring $U$ of dimension $n=\mathrm{log}_p(|G|)$ such that the invariant ring $U^G$ is also polynomial.
Fleischmann, Peter, Woodcock, Chris
core +1 more source
Galois extensions of Lubin-Tate spectra
, 2008 Let E_n be the n-th Lubin-Tate spectrum at a prime p. There is a commutative S-algebra E^{nr}_n whose coefficients are built from the coefficients of E_n and contain all roots of unity whose order is not divisible by p.
Andrew Baker +2 more
core +2 more sources
Unitarily graded field extensions
, 2006 We introduce the universal unitarily graded A-algebra for a commutative ring A and an arbitrary abelian extension U of the group of units of A, and use this concept to give simplified proofs of the main theorems of co-Galois theory in the sense of T ...
Brenner, Holger +2 more
core +3 more sources
Operations on integral lifts of K(n)
, 2019 This very rough sketch is a sequel to arXiv:1808.08587; it presents evidence that operations on lifts of the functors K(n) to cohomology theories with values in modules over valuation rings of local number fields, indexed by Lubin-Tate groups of such ...
D Quillen +8 more
core +1 more source
Galois Theory for H-extensions and H-coextensions [PDF]
, 2011 We show that there exists a Galois correspondence between subalgebras of an H-comodule algebra A over a base ring R and generalised quotients of a Hopf algebra H.
Marciniak, Dorota, Szamotulski, Marcin
core
On the descending central sequence of absolute Galois groups
, 2011 Let $p$ be an odd prime number and $F$ a field containing a primitive $p$th root of unity. We prove a new restriction on the group-theoretic structure of the absolute Galois group $G_F$ of $F$. Namely, the third subgroup $G_F^{(3)}$ in the descending $p$-
Efrat, Ido, Minac, Jan
core +1 more source