Results 1 to 10 of about 133 (44)
Commuting Hopf–Galois structures on a separable extension [PDF]
Communications in Algebra, 2018 Let L/K be a finite separable extension of local or global fields in any characteristic, let H-1, H-2 be two Hopf algebras giving Hopf-Galois structures on the extension, and suppose that the actions of H-1, H-2 on L commute.
Truman, PJ
exaly +4 more sources
Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions [PDF]
Communications in Algebra, 2016 Let L/K be a finite Galois extension of local or global fields in any characteristic with nonabelian Galois group G, and let be an ambiguous ideal of L. We show that is free over its associated order in K[G] if and only if it is free over its associated ...
Truman, PJ
exaly +3 more sources
Explicit integral Galois module structure of weakly ramified extensions of local fields [PDF]
, 2014 Let L/K be a finite Galois extension of complete local fields with finite residue fields and let G=Gal(L/K). Let G_1 and G_2 be the first and second ramification groups.
Johnston, Henri
core +4 more sources
An integral representation and properties of Bernoulli numbers of the second kind [PDF]
, 2013 In the paper, the author establishes an integral representation and properties of Bernoulli numbers of the second kind and reveals that the generating function of Bernoulli numbers of the second kind is a Bernstein function on $(0,\infty)$.Comment: 9 ...
Qi, Feng
core +1 more source
Nontrivial Galois module structure of cyclotomic fields [PDF]
, 2002 We say a tame Galois field extension $L/K$ with Galois group $G$ has trivial Galois module structure if the rings of integers have the property that $\Cal{O}_{L}$ is a free $\Cal{O}_{K}[G]$-module.
Conrad, Marc, Replogle, Daniel R.
core +5 more sources
Iwasawa Theory and Motivic L-functions [PDF]
, 2009 We illustrate the use of Iwasawa theory in proving cases of the (equivariant) Tamagawa number ...
Flach, Matthias
core +1 more source
HILBERT-SPEISER NUMBER FIELDS AND STICKELBERGER IDEALS; THE CASE p = 2 [PDF]
, 2012 We say that a number field F satisfies the condition (H′2m) when any abelian extension of exponent dividing 2m has a normal basis with respect to rings of 2-integers. We say that it satisfies (H′ 2∞) when it satisfies (H′ 2m) for all m.
Ichimura, Humio
core +1 more source
Answer to a question on $A$-groups, arisen from the study of Steinitz classes
, 2013 In this short note we answer to a question of group theory from arXiv:0910.5080. In that paper the author describes the set of realizable Steinitz classes for so-called $A'$-groups of odd order, obtained iterating some direct and semidirect products.
Cobbe, Alessandro, Monge, Maurizio
core +1 more source
Scaffolds and Generalized Integral Galois Module Structure [PDF]
, 2017 Let $L/K$ be a finite, totally ramified $p$-extension of complete local fields with residue fields of characteristic $p > 0$, and let $A$ be a $K$-algebra acting on $L$.
Byott, Nigel P. +2 more
core +4 more sources
Hopf-Galois module structure of tame Cp×Cp extensions [PDF]
, 2016 Let $ p $ be an odd prime number, $ K $ a number field containing a primitive $ p^{th} $ root of unity, and $ L $ a Galois extension of $ K $ with Galois group isomorphic to $ C_{p} \times C_{p} $. We study in detail the local and global structure of the
Truman, PJ
core +2 more sources