A characterization of the alternating groups of degrees 12, 13, 14, 15

Hiroyoshi YAMAKI

doi:10.2969/jmsj/02040673

Hiroyoshi YAMAKI

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JOURNAL FREE ACCESS

1968 Volume 20 Issue 4 Pages 673-694

DOI https://doi.org/10.2969/jmsj/02040673

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Published: 1968 Received: April 09, 1968 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: 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 S_p(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 S_p(6, 2), (to appear).

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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