A Note on the Factorization of Permutations into Cycles
We find conditions on $k, n\in \N$, where $3\leq k\leq n$ forwhich a permutation in $S_n$ can be written as a product ofdistinct $k$-cycles in $S_{n+i}\setminus S_n$, for some $i\in \N$.This result generalizes a problem that was solved in 2010 in an episode of the television show Futurama: the so-called Futurama Theorem.
Keywords:
Permutation, product of cycles,
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- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI