On the extraspecial case of the k(GV)-conjecture

摘要

Let G be a finite $ p^{prime} $ -group, p a prime. We answer the remaining questions in the extraspecial case of the search for real vectors in coprime $ mathbb{F}_pG $ -moduls. This is related to the k(GV)-conjecture which, for p-solvable groups, is equivalent to R. Brauers famous k(B)-problem.