# permutations with property

How can I get a list of permutations $\sigma \in \mathfrak{S}_n$ with the property that $\sigma(i) \geq i-1$ for all $i =1, dots, n.$

add a comment

permutations with property

asked
**
2017-04-03 15:41:41 -0500
**

This post is a wiki. Anyone with karma >750 is welcome to improve it.

add a comment

1

Like that

```
sage: n=4
sage: [sigma for sigma in Permutations(n) if all(sigma(i)>=i-1 for i in range(1,n+1))]
```

Asked: **
2017-04-03 15:41:41 -0500
**

Seen: **392 times**

Last updated: **Apr 04 '17**

Permutation Representations and the Modular Group

How to make a permutation of a card problem and compute its order?

Orbits on group actions acting on sets

Permutations indexed from zero

Convert between different ways of expressing permutations

Finding the permutation that sorts a list

Obtaining integers from a linear extension of a poset.

Determining if two subgroups of a symmetric group are conjugate

Is there any code to calculate the subgroup generated by the permutations

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.