Results 11 to 20 of about 5,522,853 (247)
PRIMITIVE SUBGROUPS AND PST-GROUPS [PDF]
AbstractAll groups considered in this paper are finite. A subgroup $H$ of a group $G$ is called a primitive subgroup if it is a proper subgroup in the intersection of all subgroups of $G$ containing $H$ as a proper subgroup. He et al. [‘A note on primitive subgroups of finite groups’, Commun. Korean Math. Soc.
Ballester-Bolinches, Adolfo +2 more
openaire +6 more sources
Imprimitive permutations in primitive groups [PDF]
The goal of this paper is to study primitive groups that are contained in the union of maximal (in the symmetric group) imprimitive groups. The study of types of permutations that appear inside primitive groups goes back to the origins of the theory of permutation groups. However, this is another instance of a situation common in mathematics in which a
J. Araújo +5 more
openaire +7 more sources
Factorizations of Primitive Permutation Groups [PDF]
The author gives a complete classification of those finite primitive permutation groups which admit a factorization as a product of a point stabilizer and an automorphic image of it: \(G=G_\omega G^\alpha_\omega\). Using the types given in the O'Nan-Scott theorem the following cases are obtained: (i) If \(G\) is affine then \(G=(E_{2^3}L_3(2))\text{ wr
Barbara Baumeister, Baumeister, Barbara
openaire +3 more sources
Prime order derangements in primitive permutation groups [PDF]
Let G be a transitive permutation group on a finite set Ω of size at least 2. An element of G is a derangement if it has no fixed points on Ω. Let r be a prime divisor of |Ω|.
Giudici, M. +10 more
core +2 more sources
1-Designs Constructed from the Groups $PSL_{2}(81)$ and $PSL_{2}(89)$ [PDF]
In this paper, some designs from the primitive permutation representations of the groups $PSL_2(81)$ and $PSL_2(89)$ are constructed using the Key-Moori Method 1. We determine the automorphism groups of all the obtained designs and prove that the groups $
Reza Kahkeshani
doaj +1 more source
Comparsion of production performance of two genetic groups of turkeys reared in the Semi-intensive system [PDF]
Production results were compared for two groups of turkeys reared in semi-intensive system. The material included 40 primitive turkeys of the light type and 40 heavy hybrids of the Big-6 line (commercial flock).
Krzysztof DAMAZIAK +2 more
doaj +1 more source
Background: Mesenchymal stem cells (MSCs) have been used for ex vivo expansion of umbilical cord blood (UCB) hematopoietic stem cells (HSCs) to maintain their primitive characters and long-term reconstitution abilities during transplantation. Therapeutic
Rasha S. Teleb +17 more
doaj +1 more source
The Classification of Extremely Primitive Groups [PDF]
AbstractDedicated to the memory of Jan Saxl Let $G$ be a finite primitive permutation group on a set $\Omega $ with nontrivial point stabilizer $G_{\alpha }$. We say that $G$ is extremely primitive if $G_{\alpha }$ acts primitively on each of its orbits in $\Omega \setminus \{\alpha \}$.
Burness, Timothy C, Thomas, Adam R
openaire +4 more sources
Topics in computational group theory : primitive permutation groups and matrix group normalisers [PDF]
Part I of this thesis presents methods for finding the primitive permutation groups of degree d, where 2500 ≤ d < 4096, using the O'Nan-Scott Theorem and Aschbacher's theorem. Tables of the groups G are given for each O'Nan-Scott class.
Coutts, Hannah Jane
core +2 more sources
OVERGROUPS OF PRIMITIVE GROUPS [PDF]
Abstract We give a qualitative description of the set 𝒪 G (H) of overgroups in G of primitive subgroups H of finite alternating and symmetric groups G, and particularly of the maximal overgroups. We then show that certain weak restrictions on the lattice 𝒪 G (H) impose strong restrictions on H and its overgroup lattice.
openaire +3 more sources

