In the paper "[On the Sandpile Group of a Graph][1]" by Cori and Rossin one can find a result related to the structure of the sandpile group of $W_n$. Is there a way to provide a set of generators in parametric form in both the cases when $n$ is even/odd?


  [1]: https://www.semanticscholar.org/paper/On-the-Sandpile-Group-of-a-Graph-Cori-Rossin/6e6b54f13fbc93a91e351133f0c5c3de9fb2c1a7