Results 21 to 30 of about 9,212,172 (248)
On Edge-Primitive Graphs of Order as a Product of Two Distinct Primes
Mathematics, 2023 A graph is edge-primitive if its automorphism group acts primitively on the edge set of the graph. Edge-primitive graphs form an important subclass of symmetric graphs. In this paper, edge-primitive graphs of order as a product of two distinct primes are
Renbing Xiao, Xiaojiao Zhang, Hua Zhang
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Base sizes of primitive groups of diagonal type
Forum 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
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ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS
Ural Mathematical Journal, 2022 In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
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The Dade group of a fusion system. [PDF]
, 2009 We define the notion of the Dade group of a fusion system and show that some of the gluing and detection results for Dade groups of finite p-groups due to Bouc and Thévenaz in [S. Bouc and J. Thévenaz. Gluing torsion endo-permutation modules. (Preprint.)]
Mazza, Nadia, Linckelmann, Markus
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On Transitive Permutation Groups with Primitive Subconstituents [PDF]
Bulletin of the London Mathematical Society, 1999 The authors investigate transitive permutation groups \(G\) acting on a set \(\Omega\) of arbitrary cardinality such that the stabilizer \(G_\omega\) in \(G\) of a point \(\omega\in\Omega\) acts primitively on each nontrivial orbit (i.e. of size at least \(2\)) in \(\Omega\).
Pasechnik, Dmitrii V. +1 more
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On base sizes for symmetric groups [PDF]
, 2011 A base of a permutation group G on a set is a subset B of such that the pointwise stabilizer of B in G is trivial. The base size of G, denoted by b(G), is the minimal cardinality of a base.
Guralnick, Robert M. +7 more
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Topics in computational group theory : primitive permutation groups and matrix group normalisers [PDF]
, 2012 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
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Sync-Maximal Permutation Groups Equal Primitive Permutation Groups [PDF]
, 2021 The set of synchronizing words of a given $n$-state automaton forms a regular language recognizable by an automaton with $2^n - n$ states. The size of a recognizing automaton for the set of synchronizing words is linked to computational problems related to synchronization and to the length of synchronizing words.
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The Dade group of a metacyclic $p$-group. [PDF]
, 2003 The Dade group $D(P)$ of a finite $p$-group $P$, formed by equivalence classes of endo-permutation modules, is a finitely generated abelian group. Its torsion-free rank equals the number of conjugacy classes of non-cyclic subgroups of $P$ and it is ...
Mazza, Nadia
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Imprimitive permutations in primitive groups
Journal of Algebra, 2017 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
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