2.46 (1966)

A finitely generated matrix group over a field of characteristic zero has a subgroup of finite index which is residually a finite $p$-group for almost all primes $p$ (M. I. Kargapolov, Algebra i Logika, 6, no. 5 (1967), 17–20 (Russian); Yu. I. Merzlyakov, Soviet Math. Dokl., 8 (1967), 1538–1541; V. P. Platonov, Dokl. Akad. Nauk Belarus. SSR, 12, no. 6 (1968), 492–494 (Russian)). A finitely generated matrix group over a field of characteristic $p > 0$ has a subgroup of finite index which is residually a finite $p$-group (V. P. Platonov, Dokl. Akad. Nauk Belarus. SSR, 12, no. 6 (1968), 492–494 (Russian); A. I. Tokarenko, Proc. Riga Algebr. Sem., Latv. Univ., Riga, 1969, 280–281 (Russian)). See also some generalizations in (V. N. Remeslennikov, Algebra i Logika, 7, no. 4 (1968), 106–113 (Russian); B. A. F. Wehrfritz, Proc. London Math. Soc., 20, no. 1 (1970), 101–122).