All Questions

In Sage, the symmetric group is a list. For instance if G = SymmetricGroup(3), we have \begin{align*} G[0] & = e \\ G[1] & = (1,3,2)\\ G[2] & = (1,2,3) \\ G[3] &= (2,3)\\ G[4] &= (...

Is there a recorded/known SAGE code to compute units in integral group rings for finite abelian groups ? I would be happy with a code that only works for cyclic groups. I sort of know how to ...

I am trying to obtain character table for the Hyperoctahedral group $\mathcal{H}_n$ in Sage using GAP. This group arises as the wreath product $\mathcal{C}_2 \wr \mathcal{S}_n$, so of course I can ...

I am in need of a normal (that is, canonical) form for (some) finite groups, computable with - for example - gap or sage or any other freely available package. The goal is to make finite groups ...

Let $S_n$ be the symmetric group over $\{1,2,\ldots,n\}$. How to return elements of length $m$ in $S_n$ using Sage? I try to find such function in Sage but didn't find one. Thank you very much. Edit: ...