Symmetric group - Gonit Sora

Gonit Sora

Sign in Subscribe

Symmetric group

A collection of 4 posts

Cycles of a random permutation

Amritanshu Prasad

Cycles of a random permutation

Prof. Amritanshu Prasad of IMSc Chennai gave a talk in the webinar series by Gonit Sora on 9th September 2020. He spoke about cycles of a random permutation. The full video of the talk is available in our YouTube channel as well as below. To register for the upcoming events,

Exceptional Embedding of S5 in S6

In this article we shall show a peculiar property of . We first note that there are several subgroups of isomorphic to . In fact there is one for each Let . All of the above subgroups have two orbits in . But for we show that there is a seventh embedding of which

The 15–Puzzle

The 15–puzzle is a children’s game (for children of all ages) to which we apply the theory of the symmetric group in order to make some adult observations. The 15–puzzle is a 44 frame holding movable squares, numbered from 1 to 15 with one space left vacant