Results 31 to 40 of about 974 (238)
Sum structures in abelian groups
Examples and Counterexamples, 2023 Any set S of elements from an abelian group produces a graph with colored edges G(S), with its points the elements of S, and the edge between points P and Q assigned for its “color” the sum P+Q.
Robert Haas
doaj +1 more source
Solvable intransitive permutation groups with constant movement [PDF]
Journal of Mahani Mathematical ResearchIn this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic $p$-group, an elementary abelian $p$-group, a Frobenius group of order 12 or a Frobenius ...
Mehdi Rezaei +2 more
doaj +1 more source
2-elements in an Autotopism Group of a Semifield Projective Plane
Известия Иркутского государственного университета: Серия "Математика", 2022 We investigate the well-known hypothesis of D.R. Hughes that the full collineation group of non-Desarguesian semifield projective plane of a finite order is solvable (the question 11.76 in Kourovka notebook was written down by N.D. Podufalov). The spread
Olga Kravtsova
doaj +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
Phases of Wilson lines: conformality and screening
Journal of High Energy Physics, 2023 We study the rich dynamics resulting from introducing static charged particles (Wilson lines) in 2+1 and 3+1 dimensional gauge theories. Depending on the charges of the external particles, there may be multiple defect fixed points with interesting ...
Ofer Aharony +4 more
doaj +1 more source
Elementary abelian operator groups
Manuscripta Mathematica, 1994 Let \(A\) be an elementary abelian \(p\)-group which acts on a solvable \(p'\)- group \(G\). If \(\phi \in A\), \(C_ G(\phi)\) denotes the fixed point subgroup of \(\phi\). Previous results of \textit{A. Turull} [J. Algebra 86, 555-566 (1984; Zbl 0526.20017)] and of \textit{F. Gross} [Bull. Aust. Math. Soc.
openaire +2 more sources
Elementary abelian operator groups and admissible formations [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1983 AbstractSuppose the elementary abelian group A acts on the group G where A and G have relatively prime orders. If CG(a) belongs to some formation F for all non-identity elements a in A, does it follow that G belongs to F? For many formations, the answer is shown to be yes provided that the rank of A is sufficiently large.
openaire +2 more sources
Advanced 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
Completely simple endomorphism rings of modules
Applied General Topology, 2018 It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi +2 more
doaj +1 more source
Complexity and elementary abelian p-groups
Journal of Algebra, 1984 Let G be a finite group and k a field of characteristic \(p>0\). If M is a finitely generated kG-module and \(...\to P_ m\to P_{m-1}\to...\to P_ 0\to M\to 0\) a minimal projective resolution of M, then the complexity, \(c_ G(M)\), of M is the least integer \(s\geq 0\) such that \(\lim_{m\to \infty}\dim_ kP_ m/m^ s=0.\) \textit{J. L.
openaire +2 more sources