University of Birmingham > Talks@bham > Algebra seminar > Permutation puzzles and finite simple groups

## Permutation puzzles and finite simple groupsAdd to your list(s) Download to your calendar using vCal - Jason Semeraro, University of Bristol
- Thursday 23 October 2014, 16:00-17:00
- Physics West 117.
If you have a question about this talk, please contact David Craven. The 15 puzzle is a sliding puzzle that consists of a frame of square tiles in random order with one tile missing (the hole), and where the aim is to obtain an ordered arrangement through an appropriate sequence of moves. The set of sequences of moves which leave the hole in a fixed position forms a finite group (the puzzle group) which is easily seen to be isomorphic to the alternating group Alt(15).
Various generalisations of the 15-puzzle have already been studied. For example, Wilson considers an analogue for finite connected and non-separable graphs. More recently, Conway introduced a version of the puzzle which is played with counters on 12 of the 13 points in the finite projective plane P(3). The 13th point This talk is part of the Algebra seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsEPS - College Research Teas Theoretical Physics Journal Club and Group Meeting Cold atoms## Other talksModelling uncertainty in image analysis. Provably Convergent Plug-and-Play Quasi-Newton Methods for Imaging Inverse Problems Sylow branching coefficients for symmetric groups TBC Geometry of alternating projections in metric spaces with bounded curvature TBC |