Convergence in Norm.

* This investigation is supported by the National Science Foundation G. 9654. 1 Brauer, R., and M. Suzuki, "On Finite Groups of Even Order Whose 2-Sylow Group is a Quaternion Group," these PROCEEDINGS, 45, 1757-1759 (1959). 2 Feit, W., "On Groups Which Contain Frobenius Groups as Subgroups," Proc. Symp. Pure Math., 1, 22-28 (1959). 3 Feit, W., M. Hall, and J. Thompson, "Finite Groups in Which the Centralizer of Any Nonidentity Element Is Nilpotent," (to appear). 4 Suzuki, M., "On Characterizations of Linear Groups, I," Trans. Amer. Math. Soc., 92, 191204 (1959). 6 Suzuki, M., "On Characterizations of Linear Groups, II," Trans. Amer. Math. Soc., 92, 205219 (1959). 6 Suzuki, M., "A New Type of Simple Groups of Finite Order," these PROCEEDINGS, 46, 868870 (1960). I Thompson, J., Thesis, University of Chicago (1959). 8 Zassenhaus, H., "Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen," Abh. aus dem Math. Seminar der Hamb. Univ., 11, 17-40 (1936).