Results 81 to 90 of about 17,375 (238)

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

A group of generalized finitary automorphisms of an abelian group

, 2017
We study the group IAut(A) generated by the inertial automorphisms of an abelian group A, that is, automorphisms f with the property that each subgroup H of A has finite index in the subgroup generated by H and f(H) .
Rinauro, Silvana, DARDANO, ULDERICO, U. Dardano   +2 more
core   +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

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

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   +3 more sources

A characterization of metaplectic time–frequency representations

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We characterize all time–frequency representations that satisfy a general covariance property: any weak*‐continuous bilinear mapping that intertwines time–frequency shifts on the configuration space with time–frequency shifts on phase space is a multiple of a metaplectic time–frequency representation. This characterization offers an intrinsic,
Karlheinz Gröchenig, Irina Shafkulovska
wiley   +1 more source

A note on group algebras of $p$-primary abelian groups [PDF]

, 1995
summary:Suppose $p$ is a prime number and $R$ is a commutative ring with unity of characteristic 0 in which $p$ is not a unit. Assume that $G$ and $H$ are $p$-primary abelian groups such that the respective group algebras $RG$ and $RH$ are $R$-isomorphic.
Ullery, William
core  

On the dimension of an Abelian group

, 2021
We introduce a measure of dimensionality of an Abelian group. Our definition of dimension is based on studying perpendicularity relations in an Abelian group. For G ≅ ℤn, dimension and rank coincide but in general they are different. For example, we show
Haukkanen, Pentti,, Tossavainen, Timo, Tossavainen, Timo,, Haukkanen, Pentti   +3 more
core   +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

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