On the number of derangements of a sharplyk-ply transitive set of permutations
โ Scribed by Werner Heise; Harald Kunde
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 58 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove that for every r and dG 2 there is a C such that for most choices of d permutations , , . . . , of S , the following holds: for any two r-tuples of distinct 1 2 d n ร 4 elements in 1, . . . , n , there is a product of less than C log n of the s which map the first i r-tuple to the second. A
Let \_ # S k and { # S n be permutations. We say { contains \_ if there exist Stanley and Wilf conjectured that for any \_ # S k there exists a constant c=c(\_) such that F(n, \_) c n for all n. Here we prove the following weaker statement: For every fixed \_ # S k , F(n, \_) c n#\* (n) , where c=c