Results 91 to 100 of about 12,672,108 (295)

Residually rationally solvable one‐relator groups

Bulletin of the London Mathematical Society, EarlyView.
Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
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

On T-Characterized Subgroups of Compact Abelian Groups

Axioms, 2015
A sequence \(\{ u_n \}_{n\in \omega}\) in abstract additively-written Abelian group \(G\) is called a \(T\)-sequence if there is a Hausdorff group topology on \(G\) relative to which \(\lim_n u_n =0\).
Saak Gabriyelyan
doaj   +1 more source

Abelian Groups in Russia

Rocky Mountain Journal of Mathematics, 2002
The author describes the activities in Abelian group theory at the universities of Moscow, Tomsk, and St. Petersburg.
openaire   +4 more sources

Cohomotopy sets of (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifolds for small n$n$

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Let M$M$ be a closed orientable (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifold, n⩾2$n\geqslant 2$. In this paper, we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced suspension space ΣM$\Sigma M$ to investigate the (integral) cohomotopy sets π*(M)$\pi ^\ast (M)$ for n=2,3,4$n=2,3,4$, under the assumption ...
Pengcheng Li, Jianzhong Pan, Jie Wu
wiley   +1 more source

Characterisation of Locally Compact Abelian Groups Having Spectral Synthesis

Forum of Mathematics, Sigma
In this paper we solve a long-standing problem which goes back to Laurent Schwartz’s work on mean periodic functions. Namely, we completely characterize those locally compact Abelian groups having spectral synthesis. So far a characterization theorem was
László Székelyhidi
doaj   +1 more source

Abelian Groups in Hungary

Rocky Mountain Journal of Mathematics, 2002
The author describes the development of Abelian group theory in Hungary, mainly from the late 1940's to the 1960's.
openaire   +4 more sources

Is every product system concrete?

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley   +1 more source

On terraces for abelian groups

Discrete Mathematics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Explicit height estimates for CM curves of genus 2

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey, Samuel Le Fourn, Elisa Lorenzo García   +2 more
wiley   +1 more source