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A characterization of the Suzuki sporadic simple group of order 448,345,497,600. (English) Zbl 0364.20019


MSC:

20D05 Finite simple groups and their classification
20G40 Linear algebraic groups over finite fields
Full Text: DOI

ATLAS of Finite Group Representations:

Suzuki group Suz

References:

[1] Conway, J. H., Three lectures on exceptional groups, (Powell, M. B.; Higman, G., Finite Simple Groups (1971), Academic Press: Academic Press New York/London), 215-247
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[4] Gorenstein, D., Finite Groups (1968), Harper and Row: Harper and Row New York · Zbl 0185.05701
[5] Gorenstein, D.; Harada, K., A characterization of Janko’s two new simple groups, J. Fac. Sci. Univ. Tokyo Ser. B, 24, 331-406 (1970) · Zbl 0223.20011
[6] G. D. James; G. D. James
[7] N. J. Patterson; N. J. Patterson
[8] Phan, K. W., A characterization of the finite simple group \(U_4(3)\), J. Austral. Math. Soc., 10, 77-94 (1969) · Zbl 0198.04601
[9] B. Stellmacher; B. Stellmacher
[10] Suzuki, M., A simple group of order 448,345,497,600, (Brauer, R.; Sah, C. S., Theory of Finite Groups (1969), Benjamin: Benjamin New York), 113-119 · Zbl 0205.32502
[11] Suzuki, M., Finite groups in which the centralizer of any element of order 2 is 2-closed, Ann. of Math., 82, 191-212 (1965) · Zbl 0132.01704
[12] Thomas, G., A characterization of the groups \(G_2(2^h)\), J. Algebra, 13, 87-119 (1969) · Zbl 0179.32501
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