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Solvable intransitive permutation groups with constant movement [PDF]
Journal of Mahani Mathematical ResearchIn this paper, all solvable intransitive permutation groups with constant movement are classified and we show that they are one of the following groups: a cyclic $p$-group, an elementary abelian $p$-group, a Frobenius group of order 12 or a Frobenius ...
Mehdi Rezaei +2 more
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On the diameter of permutation groups
European Journal of Combinatorics, 1992 The authors give an asymptotic universal upper bound for the diameter of all Cayley graphs of all permutation groups of degree \(n\), namely, they show that for any set of permutations \(S\) in \(S_ n\), every permutation in the subgroup generated by \(S\) can be expressed as a product of length at most \(\exp((n\cdot\ln n)^{1/2}(1+o(1)))\) of factors ...
László Babai, Ákos Seress
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Base sizes for simple groups and a conjecture of Cameron [PDF]
, 2009 Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stabilizer in G is trivial; we write b(G) for the smallest size of a base for G. In this paper we prove that b(G) ?
Burness, TC +5 more
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Global permutation tests for multivariate ordinal data: alternatives, test statistics, and the null dilemma [PDF]
, 2013 We discuss two-sample global permutation tests for sets of multivariate ordinal data in possibly high-dimensional setups, motivated by the analysis of data collected by means of the World Health Organisation's International Classification of Functioning,
Cieza, Alarcos +2 more
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Quantum statistics: the indistinguishability principle and the permutation group theory [PDF]
Revista Brasileira de Ensino de Física, 2007 About two decades ago we have shown mathematically that besides bosons and fermions, it could exist a third kind of particles in nature that was named gentileons. Our results have been obtained rigorously within the framework of quantum mechanics and the
M. Cattani
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On Power Graph Representation of Γ_1-nonderanged Permutation Group
UMYU Scientifica JournalA -nonderanged permutation group is a permutation group such that where . In this paper, an undirected power graph representation of -nonderanged permutation group denoted by has been studied.
Anas Yusuf, Almustapha Umar
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Prime order derangements in primitive permutation groups
, 2011 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
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The Dade group of (almost) extraspecial $p$-groups. [PDF]
, 2004 In this paper, we determine a presentation by explicit generators and relations for the Dade group of all (almost) extraspecial $p$-groups. The proof of the main result uses the cohomological properties of the Tits building corresponding to the natural ...
Mazza, Nadia, Bouc, Serge
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On leaf permutative theories and occurrence permutation groups
Electronic Notes in Theoretical Computer Science, 2003 AbstractLeaf permutative theories contain variable-permuting equations, so that rewriting a term may lead to an exponential number of terms which are only permutations of it. In [1] Avenhaus and Plaisted propose to represent such sets by stratified terms, and to deduce directly with these.
Thierry Boy de la Tour, Mnacho Echenim
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Configuration synthesis of generalized deployable units via group theory [PDF]
Mechanical Sciences, 2016 The generalized deployable mechanism is composed of generalized links and generalized kinematic pairs. The generalized links include the flexible members, springs, and cables etc.
T. Li, J. Jiang, H. Dong, L. Zhang
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