Results 51 to 60 of about 116,475 (312)
Permutation polytopes and indecomposable elements in permutation groups
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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Permutations avoiding the complement of a regular permutation group [PDF]
Erkko Lehtonen
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Minimal and random generation of permutation and matrix groups
We prove explicit bounds on the numbers of elements needed to generate various types of finite permutation groups and finite completely reducible matrix groups, and present examples to show that they are sharp in all cases.
Derek F. Holt +5 more
core +1 more source
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
wiley +1 more source
Constructing DNA Codes with Larger Distance from Quaternary Words
In this work, we propose a novel method to construct DNA codes from quaternary words. The method uses permutation groups that act in the set {1, 2, …, 4n}, representing the coordinate and coordinate value of quaternary words.
Benediktus Panji Pradipta +1 more
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(n, n(n‐1), n‐1) Permutation group codes
Two different subgroups Cn and Ln of symmetric group Sn are first designed and then to construct a family of permutation group codes Pn with code length n, minimum Hamming distance n − 1, cardinalityn(n − 1) and error‐correcting capability n − 2 is ...
Li Peng
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A Remark on Decompositions of the Permutation Representation of a Permutation Group [PDF]
Let be a permutation group on n-letters 1, 2,… ,n . Let be the subgroup of fixing suitable one letter, say 1.
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ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási +14 more
wiley +1 more source
Dihedral Group in The Ancient Genetic
The standard genetic code consist of four nucleotide bases which encode genes to produce amino acids needed by living things. The addition of new base (Dummy) causes a sequence of bases to become five nucleotide bases called ancient genetic codes.
Isah Aisah, Eddy Djauhari, Asep Singgih
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Most primitive groups are full automorphism groups of edge-transitive hypergraphs
We prove that, for a primitive permutation group G acting on a set X of size n, other than the alternating group, the probability that Aut (X,YG) = G for a random subset Y of X, tends to 1 as n → ∞.
Cameron, Peter Jephson +2 more
core +1 more source

