Studies on Hadamard matrices with “2-transitive” automorphism groups

Noboru ITO; Hiroshi KIMURA

doi:10.2969/jmsj/03610063

Noboru ITO, Hiroshi KIMURA

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1984 Volume 36 Issue 1 Pages 63-73

DOI https://doi.org/10.2969/jmsj/03610063

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Published: 1984 Received: March 10, 1981 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) M. Hall, Jr., Combinatorial theory, Blaisdell, Waltham, Mass., 1967.
2) J. Dieudonné, La géométrie des groupes classiques, Springer, Berlin, 1955.
3) N. Ito, Hadamard matrices with “doubly transitive” automorphism groups, Arch. Math., 35 (1980), 100-111.
4) N. Ito and Jeffrey S. Leon, An Hadamard matrix of order 36, J. Combinatorial Theory Ser. A, 34 (1983), 244-247.
5) W. M. Kantor, Automorphisms of Hadamard matrices, J. Combinatorial Theory, 6 (1969), 279-281.
6) M. E. Kimberley, On the construction of certain Hadamard designs, Math. Z., 119 (1971), 41-59.
7) Z. Kiyasu, Hadamard matrix and its applications, Denshi-Tsushin Gakkai, Tokyo, 1980 (Japanese).
8) H. Lüneburg, Transitive Erweiterungen endlicher Permutationsgruppen, Lecture Notes in Math., 84, Springer-Verlag, Berlin, 1969.
9) T. Oyama, Finite permutation groups, Shokabo, Tokyo, 1981 (Japanese).
10) H. Wielandt, Finite permutation groups, Academic Press, New York, 1964.
11) K. Zsigmondy, Zur Theorie der Potenzreste, Monatsh. Math. Phys., 3 (1892), 265-284.

Right : [1] M. Hall, Jr., Combinatorial theory, Blaisdell, Waltham, Mass., 1967.
[2] J. Dieudonné, La géométrie des groupes classiques, Springer, Berlin, 1955.
[3] N. Ito, Hadamard matrices with “doubly transitive” automorphism groups, Arch. Math., 35 (1980), 100-111.
[4] N. Ito and Jeffrey S. Leon, An Hadamard matrix of order 36, J. Combinatorial Theory Ser. A, 34 (1983), 244-247.
[5] W. M. Kantor, Automorphisms of Hadamard matrices, J. Combinatorial Theory, 6 (1969), 279-281.
[6] M. E. Kimberley, On the construction of certain Hadamard designs, Math. Z., 119 (1971), 41-59.
[7] Z. Kiyasu, Hadamard matrix and its applications, Denshi-Tsushin Gakkai, Tokyo, 1980 (Japanese).
[8] H. Lüneburg, Transitive Erweiterungen endlicher Permutationsgruppen, Lecture Notes in Math., 84, Springer-Verlag, Berlin, 1969.
[9] T. Oyama, Finite permutation groups, Shokabo, Tokyo, 1981 (Japanese).
[10] H. Wielandt, Finite permutation groups, Academic Press, New York, 1964.
[11] K. Zsigmondy, Zur Theorie der Potenzreste, Monatsh. Math. Phys., 3 (1892), 265-284.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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