Results 1 to 10 of about 13,348,296 (358)

Base sizes of primitive groups of diagonal type [PDF]

open access: yesForum of Mathematics, Sigma, 2023
Let G be a permutation group on a finite set $\Omega $ . The base size of G is the minimal size of a subset of $\Omega $ with trivial pointwise stabiliser in G. In this paper, we extend earlier work of Fawcett by determining the precise base
Hong Yi Huang
doaj   +2 more sources

Normalizers of primitive permutation groups [PDF]

open access: yesAdvances in Mathematics, 2017
44 pages, grant numbers updated, referee's comments ...
Robert M. Guralnick   +2 more
openaire   +4 more sources

Primitive monodromy groups of genus at most two [PDF]

open access: green, 2014
We show that if the action of a classical group $G$ on a set $\Omega$ of $1$-spaces of its natural module is of genus at most two, then $|\Omega| \leq 10,000$
Daniel Frohardt   +2 more
openalex   +6 more sources

PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2013
AbstractThe primitive finite permutation groups containing a cycle are classified. Of these, only the alternating and symmetric groups contain a cycle fixing at least three points. This removes a primality condition from a classical theorem of Jordan. Some applications to monodromy groups are given, and the contributions of Jordan and Marggraff to this
Jones, Gareth A.
openaire   +3 more sources

Primitivity in Free Groups and Free Metabelian Groups [PDF]

open access: bronzeCanadian Journal of Mathematics, 1992
AbstractLet Mn, c denote the free n-generator metabelian nilpotent group of class c. For m ≤ n – 2, every primitive system of m elements of Mn, c can be lifted to a primitive system of m elements of the absolutely free group Fn of rank n. The restriction on m cannot be improved.
Gupta Rk   +2 more
openalex   +2 more sources

Primitive Deformations of Quantum $p$-groups [PDF]

open access: greenAlgebras and Representation Theory, 2015
38 pages, 9 tables. We expanded and formalized our original version to a structured technique called Primitive Deformation, applicable in the classification of Hopf algebras in positive characteristic. We changed the title to fit in this new context.
Van C. Nguyen   +2 more
openalex   +5 more sources

Primitive idempotents in group algebras [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1966
Janusz Grabowski
openalex   +2 more sources

Primitive Locally Free Groups. [PDF]

open access: yesPrimitive Locally Free Groups.
A group G is called to be locally free, when any finite number of elements generate a free subgroup in G.
Mutuo,Takahashi
openaire   +2 more sources

Finite Groups Having Monolithic Characters of Prime Degree

open access: yesDüzce Üniversitesi Bilim ve Teknoloji Dergisi, 2021
Let G be a finite group. An irreducible character χ is called monolithic when the factor group G/ker⁡(χ) has unique minimal normal subgroup. In this paper, we prove that for the smallest prime q dividing the order of G if G has a faithful imprimitive ...
Temha Erkoç, Burcu Çınarcı
doaj   +1 more source

An Overview of the Evolution of the Genus Astragalus (Fabaceae) in the Old World‎ [PDF]

open access: yesتاکسونومی و بیوسیستماتیک, 2022
In the present study, the trend of divergence and fragmentation of different sections of Astragalus in the Old World has been investigated. Based on previous studies, Astragalus species are divided into three groups: primitive, intermediate, and advanced.
Ali Asghar Maassoumi   +2 more
doaj   +1 more source

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