Results 51 to 60 of about 2,880 (211)

The Classification of Lattices of Determinant 4 and Rank 5

Axioms
In this paper, we give the classification of the positive definite lattices with determinant 4 and rank 5.
Libo Zhao, Yangming Li, Lü Gong, Lili Li   +3 more
doaj   +1 more source

Abelian number fields with frobenian conditions

Mathematika, Volume 72, Issue 4, October 2026.
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley   +1 more source

On the Positive Definite Lattice with Determinant 5

Axioms
This paper is devoted to providing a classification of positive definite lattices with determinant 5 and a rank less than or equal to 6.
Libo Zhao, Yangming Li, Lü Gong, Huilong Gu   +3 more
doaj   +1 more source

Characterization of the automorphisms having the lifting property in the category of abelian p-groups

International Journal of Mathematics and Mathematical Sciences, 2003
Let p be a prime. It is shown that an automorphism α of an abelian p-group A lifts to any abelian p-group of which A is a homomorphic image if and only if α=π idA, with π an invertible p-adic integer.
S. Abdelalim, H. Essannouni
doaj   +1 more source

Signed Projective Cubes, a Homomorphism Point of View

Journal of Graph Theory, Volume 113, Issue 1, Page 38-56, September 2026.
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen, Reza Naserasr, Alessandra Sarti   +2 more
wiley   +1 more source

Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups

Axioms, 2019
Let A be an epireflective subcategory of the category of all semitopological groups that consists only of abelian groups. We describe maximal hereditary coreflective subcategories of A that are not bicoreflective in A in the case that ...
Veronika Pitrová
doaj   +1 more source

On Abelian Permutation Groups [PDF]

Canadian Mathematical Bulletin, 1965
The principal object of this note is to determine the maximal order of Abelian subgroups of the symmetric group sn of degree n.
Bercov, R., Moser, L.
openaire   +2 more sources

Free semigroups of large critical exponent

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley   +1 more source

Indecomposable Abelian Groups

Indagationes Mathematicae (Proceedings), 1957
Verf. zeigt die Existenz einer torsionsfreien abelschen Gruppe vom Range \( \mathbf{N} \), deren sämtliche reine Untergruppen nur die Automorphismen \(\pm 1\) besitzen; er zeigt die Existenz von \( 2^{N} \) torsionsfreien abelschen wesentlich verschiedenen Gruppen vom Range \( 2^{*} \), die alle nur die Automorphismen \(\pm 1\) besitzen; und er zeigt ...
openaire   +2 more sources

Localization sequences for logarithmic topological cyclic homology

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes, Steffen Sagave, Christian Schlichtkrull   +2 more
wiley   +1 more source