Results 1 to 10 of about 695 (216)

On the relationships between the factors of the upper and lower central series in some non-periodic groups [PDF]

open access: yesInternational Journal of Group Theory, 2018
This paper deals with the mutual relationships between the factor group $G/zeta(G)$ (respectively $G/zeta_k(G)$) and $G'$ (respectively $gamma_{k+1}(G)$ and $G^{mathfrak{N}}$).
Martyn Dixon   +2 more
doaj   +1 more source

Invariable generation of groups of finite rank [PDF]

open access: yesAdvances in Group Theory and Applications, 2018
We prove that the minimal cardinality of an invariable generating set for a finite group G can be bounded in terms of the rank of G and we discuss some related questions.
Eloisa Detomi   +2 more
doaj   +1 more source

The BEL-rank of finite semifields [PDF]

open access: yesDesigns, Codes and Cryptography, 2016
In this article we introduce the notion of the BEL-rank of a finite semifield, prove that it is an invariant for the isotopism classes, and give geometric and algebraic interpretations of this new invariant. Moreover, we describe an efficient method for calculating the BEL-rank, and present computational results for all known small semifields.
Michel Lavrauw, John Sheekey
openaire   +4 more sources

Some remarks about groups of finite special rank [PDF]

open access: yesAdvances in Group Theory and Applications, 2016
The paper presents some results about groups of finite special and section ranks. For instance, among others, it was proved that if every locally (soluble minimax) subgroup of a generalized radical group G has finite special rank, then G has finite ...
L.A. Kurdachenko   +2 more
doaj   +1 more source

Groups in which Every Subgroup of Infinite Rank is Nearly Permutable [PDF]

open access: yesAdvances in Group Theory and Applications, 2017
In this paper, the structure of locally finite groups of infinite rank whose subgroups of infinite rank have finite index in a permutable subgroup is investigated.
A.V. De Luca, R. Ialenti
doaj   +1 more source

FINITE RANK RIESZ OPERATORS [PDF]

open access: yesGlasgow Mathematical Journal, 2013
AbstractWe provide conditions under which a Riesz operator defined on a Banach space is a finite rank operator.
Koumba, U., Raubenheimer, H.
openaire   +1 more source

A theorem about linear rank inequalities that depend on the characteristic of the finite field

open access: yesSelecciones Matemáticas, 2022
A linear rank inequality is a linear inequality that holds by dimensions of vector spaces over any finite field. A characteristic-dependent linear rank inequality is also a linear inequality that involves dimensions of vector spaces but this holds over ...
Victor Peña-Macias
doaj   +1 more source

On the structure of groups admitting faithful modules with certain conditions of primitivity

open access: yesResearches in Mathematics, 2023
In the paper we study structure of soluble-by-finite groups of finite torsion-free rank which admit faithful modules with conditions of primitivity. In particular, we prove that under some additional conditions if an infinite finitely generated linear ...
A.V. Tushev
doaj   +1 more source

Structure of Finite-Dimensional Protori

open access: yesAxioms, 2019
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
doaj   +1 more source

Random Rank-Dependent Expected Utility

open access: yesGames, 2022
We present a novel characterization of random rank-dependent expected utility for finite datasets and finite prizes. As a byproduct, we obtain a characterization of random expected utility that works for finite datasets.
Nail Kashaev, Victor H. Aguiar
doaj   +1 more source

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