On finite groups with a 2-Sylow subgroup isomorphic to that of the symmetric group of degree 4n

Takeshi KONDO

doi:10.2969/jmsj/02040695

Takeshi KONDO

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ジャーナルフリー

1968 年 20 巻 4 号 p. 695-713

DOI https://doi.org/10.2969/jmsj/02040695

詳細

Published: 1968 Received: 1968/04/09 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) E. Artin, Geometric Algebra, Interscience, New York, 1957.
2) L. E. Dickson, Linear groups, with an exposition of the Galois field theory, Dover, 1958.
3) W. Gaschütz, Zur Erweiterungtheorie der endlichen Gruppen, J. Reine Angew. Math., 190 (1952), 93-107.
4) G. Glauberman, Central elements in core free groups, J. Algebra, 4 (1966), 403-420.
5) M. Hall, The Theory of Groups, The Macmillan Company, 1957.
6) T. Kondo, A characterization of the alternating group of degree eleven, Illinois J. Math., (to appear).
7) W. Specht, Eine Verallgemeinerung der symmetrischen Gruppe, Schr. Math. Sem. Berlin, 1 (1932), 1-32.
8) J. G. Thompson, Normal p-complement for finite groups, J. Algebra, 1 (1964), 43-46.
9) H. Yamaki, A characterization of the alternating groups of degrees 12, 13, 14 15, J. Math. Soc. Japan, 20 (1968), 673-694.
10) W. J. Wong, Twisted wreath products and Sylow 2-subgroups of classical simple groups, Math. Z., 97 (1967), 406-424.

Right : [1] E. Artin, Geometric Algebra, Interscience, New York, 1957.
[2] L. E. Dickson, Linear groups, with an exposition of the Galois field theory, Dover, 1958.
[3] W. Gaschütz, Zur Erweiterungtheorie der endlichen Gruppen, J. Reine Angew. Math., 190 (1952), 93-107.
[4] G. Glauberman, Central elements in core free groups, J. Algebra, 4 (1966), 403-420.
[5] M. Hall, The Theory of Groups, The Macmillan Company, 1957.
[6] T. Kondo, A characterization of the alternating group of degree eleven, Illinois J. Math., (to appear).
[7] W. Specht, Eine Verallgemeinerung der symmetrischen Gruppe, Schr. Math. Sem. Berlin, 1 (1932), 1-32.
[8] J. G. Thompson, Normal p-complement for finite groups, J. Algebra, 1 (1964), 43-46.
[9] H. Yamaki, A characterization of the alternating groups of degrees 12, 13, 14 15, J. Math. Soc. Japan, 20 (1968), 673-694.
[10] W. J. Wong, Twisted wreath products and Sylow 2-subgroups of classical simple groups, Math. Z., 97 (1967), 406-424.

訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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