Results 31 to 40 of about 97,370 (265)
Invariance groups of finite functions and orbit equivalence of permutation groups
Open Mathematics, 2015 Which subgroups of the symmetric group Sn arise as invariance groups of n-variable functions defined on a k-element domain? It appears that the higher the difference n-k, the more difficult it is to answer this question.
Horváth Eszter K. +3 more
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Distance in cayley graphs on permutation groups generated by $k$ $m$-Cycles [PDF]
Transactions on Combinatorics, 2017 In this paper, we extend upon the results of B. Suceav{u{a}} and R. Stong [Amer. Math. Monthly, 110 (2003) 162--162], which they computed the minimum number of 3-cycles needed to generate an even permutation.
Zohreh Mostaghim +1 more
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Information transmission and signal permutation in active flow networks
New Journal of Physics, 2018 Recent experiments show that both natural and artificial microswimmers in narrow channel-like geometries will self-organise to form steady, directed flows.
Francis G Woodhouse +2 more
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The round functions of KASUMI generate the alternating group
Journal of Mathematical Cryptology, 2015 We show that the round functions of the KASUMI block cipher for odd and even round type generate the alternating group on the message space. Moreover, under the assumption of independent round keys, we prove that also the KASUMI two-round functions and ...
Sparr Rüdiger, Wernsdorf Ralph
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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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Permutation polytopes and indecomposable elements in permutation groups
Journal of Combinatorial Theory, Series A, 2006 18 pages. To appear in the Journal of Combinatorial Theory, Series A. A corollary about solvable primitive permutation groups has been added.
Robert M. Guralnick, David Perkinson
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On derangements in simple permutation groups
Forum of Mathematics, SigmaLet $G \leqslant \mathrm {Sym}(\Omega )$ be a finite transitive permutation group and recall that an element in G is a derangement if it has no fixed points on $\Omega $ . Let $\Delta (G)$ be the set of derangements in G and define
Timothy Burness, Marco Fusari
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu +8 more
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Permutation groups, partition lattices and block structures
Forum of Mathematics, SigmaLet G be a finite transitive permutation group on $\Omega $ . The G-invariant partitions form a sublattice of the lattice of all partitions of $\Omega $ , having the further property that all its elements are uniform (that is, have all parts ...
Marina Anagnostopoulou-Merkouri +2 more
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On the Erdos-Ko-Rado property of finite groups of order a product of three primes
Electronic Journal of Graph Theory and Applications, 2019 Let G be a subgroup of the symmetric group Sn. Then G has the Erdos-Ko-Rado (EKR) property, if the size of any intersecting subset of G is bounded above by the size of a point stabilizer of G.
Modjtaba Ghorbani, Mina Rajabi-Parsa
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