Geodesic
On same-invariant linear groups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 224-239 
N. N. Kushpel. On same-invariant linear groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 224-239. http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a11/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A linear group $G\le\operatorname{GL}(V)$ is called same-invariant if the subspaces of linear invariants $V^g$ are the same for all $g\in G$, $g\ne 1$. In this paper, we consider finite same-invariant linear groups over а field of characteristic $p$ which have order $p^2$ or $pq$, $(p,q)=1$.

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