A characterization of the alternating groups of degrees 12, 13, 14, 15
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フリー
1968 年 20 巻 4 号 p. 673-694
詳細
- Published: 1968 Received: 1968/04/09 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
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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) R. Brauer and A. Fowler, On groups of even order, Ann. of Math., 62 (1955), 565-583.
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) D. Gorenstein and J. Walter, On finite groups with dihedral Sylow 2-subgroups, Illinois J. Math., 6 (1962), 553-593.
6) D. Held, A characterization of the alternating groups of degrees eight and nine, J. Algebra, 7 (1967), 218-237.
7) D. Held, A characterization of some multiply transitive permutation groups, I, Illinois J. Math., (to appear).
8) D. G. Higman, Focal series in finite groups, Canad. J. Math., 5 (1953), 477-497.
9) B. Huppert, Subnormale Untergruppen and p-Sylowgruppen, Acta Sci. Szeged, 22 (1961), 46-61.
10) T. Kondo, A characterization of the alternating groups of degree eleven, Illinois J. Math., 12 (1968).
11) T. Kondo, On the alternating groups, J. Fac. Sci., Univ. Tokyo, (to appear).
12) T. Kondo, On finite groups with a 2-Sylow group isomorphic to that of the sym. metric groups of degree 4n, J. Math. Soc. Japan, 20 (1968), 695-713.
13) H. Wielandt, Beziehungen zwischen den Fixpunktzahlen von Automorphismen. gruppen einer endlichen Gruppe, Math. Z., 73 (1960), 146-158.
14) W. J. Wong, A characterization of the alternating group of degree eight, Proc London Math. Soc., Ser. 3, 13 (1963), 359-383.
15) T. Kondo, On the alternating groups II, J. Math. Soc. Japan, (to appear).
16) H. Yamaki, A characterization of the simple group Sp(6, 2), (to appear).
Right : [1] R. Brauer and A. Fowler, On groups of even order, Ann. of Math., 62 (1955), 565-583.
[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] D. Gorenstein and J. Walter, On finite groups with dihedral Sylow 2-subgroups, Illinois J. Math., 6 (1962), 553-593.
[6] D. Held, A characterization of the alternating groups of degrees eight and nine, J. Algebra, 7 (1967), 218-237.
[7] D. Held, A characterization of some multiply transitive permutation groups, I, Illinois J. Math., (to appear).
[8] D. G. Higman, Focal series in finite groups, Canad. J. Math., 5 (1953), 477-497.
[9] B. Huppert, Subnormale Untergruppen and p-Sylowgruppen, Acta Sci. Szeged, 22 (1961), 46-61.
[10] T. Kondo, A characterization of the alternating groups of degree eleven, Illinois J. Math., 12 (1968).
[11] T. Kondo, On the alternating groups, J. Fac. Sci., Univ. Tokyo, (to appear).
[12] T. Kondo, On finite groups with a 2-Sylow group isomorphic to that of the sym. metric groups of degree 4n, J. Math. Soc. Japan, 20 (1968), 695-713.
[13] H. Wielandt, Beziehungen zwischen den Fixpunktzahlen von Automorphismen. gruppen einer endlichen Gruppe, Math. Z., 73 (1960), 146-158.
[14] W. J. Wong, A characterization of the alternating group of degree eight, Proc London Math. Soc., Ser. 3, 13 (1963), 359-383.
[15] T. Kondo, On the alternating groups II, J. Math. Soc. Japan, (to appear).
[16] H. Yamaki, A characterization of the simple group Sp(6, 2), (to appear).
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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