On same-invariant linear groups

A linear group G ≤ GL(V) is called same-invariant if the subspace of linear invariants V^g is one and the same for all g ∈ G, g ≠ 1. In this paper, we consider finite same-invariant linear groups of orders pq, (p, q) = 1, or p² over a field of characteristic p. Bibliography: 8 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 321, 2005, pp. 224–239.