Results 61 to 70 of about 276,781 (279)
Gabor analysis over finite Abelian groups [PDF]
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
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
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
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]
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
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]
We extend the result of P. Puusemp (Idempotents of the endomorphism semigroups of groups. Acta Comment. Univ. Tartuensis, 1975, 366, 76â104) about determinability of finite Abelian groups by their endomorphism semigroups to finite idempotent medial ...
Alar Leibak, Peeter Puusemp
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On perfect bases in finite Abelian groups
To appear in ...
Bajnok, Béla +2 more
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Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
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
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

