A characterization of the simple groups PSL (2, q)

Michio SUZUKI

doi:10.2969/jmsj/02010342

Michio SUZUKI

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JOURNAL FREE ACCESS

1968 Volume 20 Issue 1-2 Pages 342-349

DOI https://doi.org/10.2969/jmsj/02010342

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Published: 1968 Received: June 14, 1967 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Shokichi Iyanaga

Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) R. Brauer, M. Suzuki and G. E. Wall, A characterization of the one-dimensional unimodular projective groups over finite fields, Illinois J. Math., 2 (1958), 718-745.
2) R. Brauer and M. Suzuki, On finite groups of even order whose 2-Sylow group is a quaternion group, Proc. Nat. Acad. Sci. U.S.A., 45 (1959), 1757-1759.
3) J. Dieudonné, La géométrie des grouper classiques, Ergebnisse der Math. Bd. 5, Springer, 1963.
4) W. Feit and J. G. Thompson, Solvability of groups of odd order, Pacific J. Math., 13 (1963), 775-1029.
5) K. A. Fowler, Thesis, Univ. of Michigan, 1951.
6) D. Gorenstein and J. H. Walter, On finite groups with dihedral Sylow 2-subgroups, Illinois J. Math., 6 (1962), 553-593.
7) M. Hall, Jr., The theory of groups, Macmillan Co., New York, 1959.
8) D. G. Higman, Focal series in finite groups, Canad. J. Math., 5 (1953), 477-497.
9) M. Suzuki, A characterization of simple groups LF(2, p), J. Fac. Sci. Univ. Tokyo Sect. I, 6 (1951), 259-293.
10) M. Suzuki, On characterizations of linear groups, I, Trans. Amer. Math. Soc., 92 (1959), 191-204.
11) M. Suzuki, Two characteristic properties of (ZT)-groups, Osaka Math. J., 15 (1963), 143-150.
12) M. Suzuki, Finite groups in which the centralizer of any element of order 2 is 2-closed, Ann. of Math., 82 (1965), 191-212.

Right : [1] R. Brauer, M. Suzuki and G. E. Wall, A characterization of the one-dimensional unimodular projective groups over finite fields, Illinois J. Math., 2 (1958), 718-745.
[2] R. Brauer and M. Suzuki, On finite groups of even order whose 2-Sylow group is a quaternion group, Proc. Nat. Acad. Sci. U. S. A., 45 (1959), 1757-1759.
[3] J. Dieudonné, La géométrie des groupes classiques, Ergebnisse der Math. Bd. 5, Springer, 1963.
[4] W. Feit and J. G. Thompson, Solvability of groups of odd order, Pacific J. Math., 13 (1963), 775-1029.
[5] K. A. Fowler, Thesis, Univ. of Michigan, 1951.
[6] D. Gorenstein and J. H. Walter, On finite groups with dihedral Sylow 2-subgroups, Illinois J. Math., 6 (1962), 553-593.
[7] M. Hall, Jr., The theory of groups, Macmillan Co., New York, 1959.
[8] D. G. Higman, Focal series in finite groups, Canad. J. Math., 5 (1953), 477-497.
[9] M. Suzuki, A characterization of simple groups LF(2, p), J. Fac. Sci. Univ. Tokyo Sect. I, 6 (1951), 259-293.
[10] M. Suzuki, On characterizations of linear groups, I, Trans. Amer. Math. Soc., 92 (1959), 191-204.
[11] M. Suzuki, Two characteristic properties of (ZT)-groups, Osaka Math. J., 15 (1963), 143-150.
[12] M. Suzuki, Finite groups in which the centralizer of any element of order 2 is 2-closed, Ann. of Math., 82 (1965), 191-212.

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