A characterization of PSL(2, 11) and S5

Hiroshi KIMURA

doi:10.2969/jmsj/02430397

A characterization of PSL(2, 11) and S₅

Hiroshi KIMURA

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JOURNAL FREE ACCESS

1972 Volume 24 Issue 3 Pages 397-404

DOI https://doi.org/10.2969/jmsj/02430397

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Published: 1972 Received: March 10, 1971 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) G. Glauberman, Central elements in core-free groups, J. Algebra, 4 (1966), 403-420.
2) D. Gorenstein, Finite groups, Harper and Row, New York, 1968.
3) D. Gorenstein and J. H. Walter, The characterization of finite groups with dihedral Sylow 2-subgroups, I, II, III, J. Algebra, 2 (1965), 85-151, 218-270, 334-393.
4) N. Ito, On doubly transitive groups of degree n and order 2(n-1)n, Nagoya Math. J., 27 (1966), 409-417.
5) W. M. Kantor, M. E. O'Nan and G. M. Seitz, 2-transitive groups in which the stabilizer of two points is cyclic (to appear).
6) H. Kimura, On some doubly transitive permutation groups of degree n and order 2^l(n-1)n, J. Math. Soc. Japan, 22 (1970), 263-277.
7) H. Kimura, On doubly transitive permutation groups of degree n and order 2p(n-1)n, Osaka. J. Math., 7 (1970), 275-290.
8) H. Kimura, On some doubly transitive groups such that the stabilizer of two symbols is cyclic, J. Fac. Sci. Hokkaido Univ. (to appear).
9) H. Lüneburg, Charakterisierungen der endlichen desargusschen projektiven Ebenen, Math. Z., 85 (1964), 419-450.
10) H. Wielandt, Finite permutation groups, Academic Press, New York, 1964.

Right : [1] G. Glauberman, Central elements in core-free groups, J. Algebra, 4 (1966), 403-420.
[2] D. Gorenstein, Finite groups, Harper and Row, New York, 1968.
[3] D. Gorenstein and J. H. Walter, The characterization of finite groups with dihedral Sylow 2-subgroups, I, II, III, J. Algebra, 2 (1965), 85-151, 218-270, 334-393.
[4] N. Ito, On doubly transitive groups of degree n and order 2(n-1)n, Nagoya Math. J., 27 (1966), 409-417.
[5] W. M. Kantor, M. E. O'Nan and G. M. Seitz, 2-transitive groups in which the stabilizer of two points is cyclic (to appear).
[6] H. Kimura, On some doubly transitive permutation groups of degree n and order 2^l(n-1)n, J. Math. Soc. Japan, 22 (1970), 263-277.
[7] H. Kimura, On doubly transitive permutation groups of degree n and order 2p(n-1)n, Osaka. J. Math., 7 (1970), 275-290.
[8] H. Kimura, On some doubly transitive groups such that the stabilizer of two symbols is cyclic, J. Fac. Sci. Hokkaido Univ. (to appear).
[9] H. Lüneburg, Charakterisierungen der endlichen desargusschen projektiven Ebenen, Math. Z., 85 (1964), 419-450.
[10] H. Wielandt, Finite permutation groups, Academic Press, New York, 1964.

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