Results 61 to 70 of about 276,781 (279)

Gabor analysis over finite Abelian groups [PDF]

open access: yes, 2007
The topic of this paper are (multi-window) Gabor frames for signals over finite Abelian groups, generated by an arbitrary lattice within the finite time-frequency plane.
Feichtinger, H. G., Kozek, W., Luef, F.
core  

Partitions of Finite Abelian Groups

open access: yesEuropean Journal of Combinatorics, 1986
A collection of subgroups \(G_ 1,G_ 2,...,G_ n\) of a group G constitutes a partition of G if every non-zero element of G is in one and only one of the groups \(G_ 1,G_ 2,...,G_ n\). We shall give conditions on the existence of partitions that consist of \(n_ i\) groups of order \(q_ i\), \(i=1,2,...,k\) and where \(q_ ...
openaire   +2 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The authors study relations between the properties of torsion locally nilpotent groups and their norms of Abelian non-cyclic subgroups. The impact of the norm of Abelian non-cyclic subgroups on the properties of the group under the condition of norm non ...
T.D. Lukashova, M.G. Drushlyak
doaj   +1 more source

The coarse classification of countable abelian groups [PDF]

open access: yes, 2008
We prove that two countable locally finite-by-abelian groups G,H endowed with proper left-invariant metrics are coarsely equivalent if and only if their asymptotic dimensions coincide and the groups are either both finitely-generated or both are ...
Banakh, T., Higes, J., Zarichinyy, I.
core  

Equivariant toric geometry and Euler–Maclaurin formulae

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell   +3 more
wiley   +1 more source

On determinability of idempotent medial commutative quasigroups by their endomorphism semigroups; pp. 81–87 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2011
We extend the result of P. Puusemp (Idempotents of the endomorphism semigroups of groups. Acta Comment. Univ. Tartuensis, 1975, 366, 76–104) about determinability of finite Abelian groups by their endomorphism semigroups to finite idempotent medial ...
Alar Leibak, Peeter Puusemp
doaj   +1 more source

On perfect bases in finite Abelian groups

open access: yesInvolve, a Journal of Mathematics, 2022
To appear in ...
Bajnok, Béla   +2 more
openaire   +3 more sources

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

open access: yesMathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

A question of Frohardt on $2$ -groups, skew translation quadrangles of even order and cyclic STGQs

open access: yesForum of Mathematics, Sigma, 2023
We solve a fundamental question posed in Frohardt’s 1988 paper [6] on finite $2$ -groups with Kantor familes, by showing that finite groups K with a Kantor family $(\mathcal {F},\mathcal {F}^*)$ having distinct members $A, B \in \mathcal
Koen Thas
doaj   +1 more source

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