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Results tagged with permutations
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user 88133
Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.
3
votes
Accepted
The stabilizer of the conditionally convergent series
So one might guess that perhaps these are all of the sum-preserving permutations. But it is not the case. … There are sum-preserving permutations that have "unbounded steps" (but, I suppose, very far apart). …
- 6,237
2
votes
Accepted
Partitions of finite sets and their behavior under permutations of the set
(Not an answer, but too long for a comment.) What if $X = \{1,2,3,4,5,6\}$, $A=\{1,2,3\}$, and $B=\{4,5,6\}$; and $\sigma_1=(3,6)$, $\sigma_2=(2,6)\sigma_1^{-1} = (2,6,3)$. Anyway $\sigma_2 \sigma_1 = …
- 6,237
2
votes
Accepted
Given the index of two permutations, Is there a direct way to compute the index of their com...
to the end of a permutation (permutations $21$, $213$, $2134$–which would all be described by the same cycle, $(1,2)$–have indices $10$, $100$, $1000$). … Which stable indices correspond to finite permutations that are transpositions, $k$-cycles, even, etc? …
- 6,237