upendra.kapshikar's profile - activity

@dan_fulea M is of shape k×n and A,B square matrices of type k×k and n×n. The group is $GL(k,F_{q})$ direct product with $GL(n,F_{q})$ which acts on space of k×n matrices as defined above. I need a stabelizer i.e all the pairs $(A,B) \in GL(k,F_{q}) \times GL(n,F_{q})$ for a fixed M. I think what you stated with points 3 and 4 gives different thing than this.

@dan_fulea $G_{A}$ is not commutative . Sorry I made a mistake while posting. The definition of action is now corrected. I have defined a function action of the direct product group on space of matrices which produces the required output. Now if you can guide how to get that stabilizer that would be great.

I want to define a group action in sage. The group is a direct product of two general linear groups. The set under action is of matrices and the action is $(A,B) (M)=A^{-1}MB$. Assume all matrices have compatible sizes in order for multiplication. I might need a stabelizer later so I was thinking doing it in GAP but could not figure out how. Any suggestions?