An odd characterization of some simple groups

Tomoyuki YOSHIDA

doi:10.2969/jmsj/02830415

Tomoyuki YOSHIDA

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JOURNAL FREE ACCESS

1976 Volume 28 Issue 3 Pages 415-420

DOI https://doi.org/10.2969/jmsj/02830415

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Published: 1976 Received: January 09, 1973 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. Alperin, R. Brauer, and D. Gorenstein, Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups, Trans. Amer. Math. Soc., 151 (1970), 1-261.
2) J. H. Conway, Three lectures on exceptional groups, Finite simple groups, edited by M. B. Powell and G. Higman, Academic Press, 1971, 215-247.
3) L. R. Fletcher, A characterization of L₃(4), J. Algebra, 19 (1971), 274-281.
4) L. R. Fletcher, A transfer theorem for Cθθ-groups, Quart. J. Math. Oxford (2), 22 (1971), 503-533.
5) D.M. Goldschmidt, 2-fusion in finite groups, Ann. of Math., 99 (1974), 70-117.
6) D. Gorenstein, Finite groups, Harper and Row, 1968.
7) D. Gorenstein and J. Walter, The characterization of finite groups with dihedral Sylow 2-subgroups, I, II, III, J. Algebra, 2 (1965), 85-151, 218-270, 364-393.
8) K. Harada, Finite simple groups with short chains of subgroups, J. Math. Soc. Japan, (1968), 655-672.
9) K. Harada, On finite groups having self-centralizing 2-subgroups of small order, Amer. Math. Soc. Notices, 1973, Jan. A-98.
10) G. Higman, Odd characterization of finite simple groups, Lecture notes, Univ. Michigan, 1868.
11) S. D. Smith and A. P. Tayler, On finite groups with a certain Sylow-normalizer, II, J. Algebra, 26 (1973), 366-367.
12) J. Tits, Groups finis simples sporadiques, Seminaire Bourbaki, No. 375 (1970), 187-211.

Right : [1] J. Alperin, R. Brauer, and D. Gorenstein, Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups, Trans. Amer. Math. Soc., 151 (1970), 1-261.
[2] J. H. Conway, Three lectures on exceptional groups, Finite simple groups, edited by M. B. Powell and G. Higman, Academic Press, 1971, 215-247.
[3] L. R. Fletcher, A characterization of L₃(4), J. Algebra, 19 (1971), 274-281.
[4] L. R. Fletcher, A transfer theorem for Cθθ-groups, Quart. J. Math. Oxford (2), 22 (1971), 503-533.
[5] D. M. Goldschmidt, 2-fusion in finite groups, Ann. of Math., 99 (1974), 70-117.
[6] D. Gorenstein, Finite groups, Harper and Row, 1968.
[7] D. Gorenstein and J. Walter, The characterization of finite groups with dihedral Sylow 2-subgroups, I, II, III, J. Algebra, 2 (1965), 85-151, 218-270, 364-393.
[8] K. Harada, Finite simple groups with short chains of subgroups, J. Math. Soc. Japan, (1968), 655-672.
[9] K. Harada, On finite groups having self-centralizing 2-subgroups of small order, Amer. Math. Soc. Notices, 1973, Jan. A-98.
[10] G. Higman, Odd characterization of finite simple groups, Lecture notes, Univ. Michigan, 1868.
[11] S. D. Smith and A. P. Tayler, On finite groups with a certain Sylow-normalizer, II, J. Algebra, 26 (1973), 366-367.
[12] J. Tits, Groups finis simples sporadiques, Seminaire Bourbaki, No. 375 (1970), 187-211.

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