Periodic normal subgroups of linear groups (Q1270259)

The author gives an alternative proof and a generalization of a result of R. E. Phillips and J. G. Rainbolt. He shows: There is an integer-valued function \(f(n)\) of \(n\) only such that if \(G\) is a linear group of degree \(n\) and characteristic \(p\geq 0\) and if \(N\) is any periodic normal subgroup of \(G\), with \(O_p(N)=\langle 1\rangle\) if \(p>0\), then \(G/N\) is isomorphic to a linear group of degree \(f(n)\) and characteristic \(p\).