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A theorem on permutations

✍ Scribed by Rimhak Ree


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
76 KB
Volume
10
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES


Permutation groups on unordered sets II;
✍ Johannes Siemons πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 289 KB

We show that every group is the full automorphism group of an unordered k-relation for given k 2 2 on some suitable set. We are also concerned with the cardinality of a minimal representation with this property as a function of k.

A note on applications of the martingale
✍ Chern-Ching Chao πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 160 KB πŸ‘ 2 views

A unified martingale approach is presented for establishing the asymptotic normality of some sequences of random variables. It is applied to the numbers of inversions, rises, and peaks, respectively, as well as the oscillation and the sum of consecutive pair products of a random permutation.