Results 101 to 110 of about 228,669 (269)
Universal and ultrahomogeneous abelian Polish metric group [PDF]
arXiv, 2013 We use Fra\" iss\' e theoretic methods to construct a universal and ultrahomogeneous abelian separable metric group. We show that such a group is a universal abelian Polish group, thus we provide another proof of a result already discovered by Shkarin.
arxiv
On a common refinement of Stark units and Gross–Stark units
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its p$p$‐adic analogue, in terms of Fontaine's p$p$‐adic period ring. We construct period‐ring‐valued functions under a generalization of Yoshida's conjecture on the transcendental parts of CM‐periods.
Tomokazu Kashio
wiley +1 more source
The group of homomorphisms of abelian torsion groups
International Journal of Mathematics and Mathematical Sciences, 1979 Let G and A be abelian torsion groups. In[5], R. S. Pierce develops a complete set of invariants for Hom(G, A). To compute these invariants he introduces, and uses extensively, the group of small homomorphisms of G into A.
M. W. Legg
doaj +1 more source
The group of classes of congruent matrices with application to the group of isomorphisms of any abelian group [PDF]
, 1907 Arthur Ranum
openalex +1 more source
Density functions for epsilon multiplicity and families of ideals
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract A density function for an algebraic invariant is a measurable function on R$\mathbb {R}$ which measures the invariant on an R$\mathbb {R}$‐scale. This function carries a lot more information related to the invariant without seeking extra data.
Suprajo Das +2 more
wiley +1 more source
On Algebraic and Definable Closures for Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика"Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
doaj +1 more source
A gap theorem for the ZL-amenability constant of a finite group [PDF]
International Journal of Group Theory, 2016 It was shown in [A. Azimifard, E. Samei, N. Spronk, JFA 256 (2009)] that the ZL-amenability constant of a finite group is always at least~$1$, with equality if and only if the group is abelian. It was also shown in [A. Azimifard, E. Samei, N.
Yemon Choi
doaj
Groups of order $p^m$ containing exactly $p + 1$ abelian subgroups of order $p^{m - 1}$ [PDF]
, 1907 G. A. Miller
openalex +1 more source
Counting integral points on symmetric varieties with applications to arithmetic statistics
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract In this article, we combine Bhargava's geometry‐of‐numbers methods with the dynamical point‐counting methods of Eskin–McMullen and Benoist–Oh to develop a new technique for counting integral points on symmetric varieties lying within fundamental domains for coregular representations.
Arul Shankar +2 more
wiley +1 more source
Stacky abelianization of algebraic groups [PDF]
Transformation Groups, 2009 Let G be a connected algebraic group and let [G,G] be its commutator subgroup. We prove a conjecture of Drinfeld about the existence of a connected etale group cover H of [G,G], characterized by the following properties: every central extension of G, by a finite etale group scheme, splits over H, and the commutator map of G lifts to H.
openaire +4 more sources