Results 1 to 10 of about 13,348,296 (358)
Base sizes of primitive groups of diagonal type [PDF]
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
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Normalizers of primitive permutation groups [PDF]
44 pages, grant numbers updated, referee's comments ...
Robert M. Guralnick +2 more
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Primitive monodromy groups of genus at most two [PDF]
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
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PRIMITIVE PERMUTATION GROUPS CONTAINING A CYCLE [PDF]
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.
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Primitivity in Free Groups and Free Metabelian Groups [PDF]
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
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Primitive Deformations of Quantum $p$-groups [PDF]
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
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Primitive idempotents in group algebras [PDF]
Janusz Grabowski
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Primitive Locally Free Groups. [PDF]
A group G is called to be locally free, when any finite number of elements generate a free subgroup in G.
Mutuo,Takahashi
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Finite Groups Having Monolithic Characters of Prime Degree
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
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An Overview of the Evolution of the Genus Astragalus (Fabaceae) in the Old World [PDF]
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
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