Results 61 to 70 of about 12,614,847 (317)
Abelian supplements in almost simple groups
Forum of Mathematics, SigmaLet G be an almost simple group with socle $G_0$ . In this paper we prove that whenever $G/G_0$ is abelian, then there exists an abelian subgroup A of G such that $G=AG_0$ .
Mauro Costantini +2 more
doaj +1 more source
Arithmetic Sets in Groups [PDF]
, 2014 We define a notion of an arithmetic set in an arbitrary countable group and study properties of these sets in the cases of Abelian groups and non-abelian free ...
Akhmedov, Azer, Fulghesu, Damiano
core
On Schurity of Finite Abelian Groups [PDF]
, 2013 A finite group G is called a Schur group, if any Schur ring over G is associated in a natural way with a subgroup of Sym(G) that contains all right translations. Recently, the authors have completely identified the cyclic Schur groups.
S. Evdokimov, I. Kov'acs, I. Ponomarenko
semanticscholar +1 more source
Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Fortschritte der Physik, EarlyView.Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley +1 more source
Non-Abelian Sequenceable Groups Involving ?-Covers [PDF]
Journal of Sciences, Islamic Republic of Iran, 2009 A non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized Fibonacci sequence , , , .
H. Doostie
doaj
G-Groups and Biuniform Abelian Normal Subgroups [PDF]
Advances in Group Theory and Applications, 2016 We prove a weak form of the Krull-Schmidt Theorem concerning the behavior of direct-product decompositions of $G$-groups, biuniform abelian $G$-groups, $G$-semidirect products and the $G$-set $Hom(H,A)$. Here $G$ and $A$ are groups and $H$ is a $G$-group.
María José Arroyo Paniagua +1 more
doaj +1 more source
Simple Finite Non-Abelian Flavor Groups
, 2007 The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two- and three-dimensional irreducible representations.
Christoph Luhn +4 more
core +1 more source
Analytic Philosophy, EarlyView.ABSTRACT Laws play some role in explanations: at the very least, they somehow connect what is explained, or the explanandum, to what explains, or the explanans. Thus, thermodynamical laws connect the match's being struck and its lightning, so that the former causes the latter; and laws about set formation connect Socrates' existence with {Socrates}'s ...
Julio De Rizzo
wiley +1 more source
On Modified Erdős-Ginzburg-Ziv constants of finite abelian groups
AIMS Mathematics, 2023 Let $ G $ be a finite abelian group with exponent $ \exp(G) $ and $ S $ be a sequence with elements of $ G $. We say $ S $ is a zero-sum sequence if the sum of the elements in $ S $ is the zero element of $ G $.
Yuting Hu, Jiangtao Peng , Mingrui Wang
doaj +1 more source
Normal covering numbers for Sn$S_n$ and An$A_n$ and additive combinatorics
Bulletin of the London Mathematical Society, EarlyView.Abstract The normal covering number γ(G)$\gamma (G)$ of a noncyclic group G$G$ is the minimum number of proper subgroups whose conjugates cover the group. We give various estimates for γ(Sn)$\gamma (S_n)$ and γ(An)$\gamma (A_n)$ depending on the arithmetic structure of n$n$. In particular we determine the limsups over γ(Sn)/n$\gamma (S_n) / n$ and γ(An)
Sean Eberhard, Connor Mellon
wiley +1 more source