A characterization of the simple groups U7 and M11

Hiroyoshi YAMAKI

doi:10.2969/jmsj/02310130

A characterization of the simple groups U₇ and M₁₁

Hiroyoshi YAMAKI

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JOURNAL FREE ACCESS

1971 Volume 23 Issue 1 Pages 130-136

DOI https://doi.org/10.2969/jmsj/02310130

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Published: 1971 Received: May 23, 1970 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: TITLE Details: Wrong : A characterization of the simple groups U₇ and M₁
Right : A characterization of the simple groups U₇ and M₁₁

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) D. Gorenstein, Finite groups in which Sylow 2-subgroups are abelian and centralizers of involutions are solvable, Canad. J. Math., 17 (1965), 860-896.
2) D. Gorenstein, Finite groups the centralizers of whose involutions have normal 2-complements, Canad. J. Math., 21 (1969), 335-357.
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) B. Huppert, Zweifach transitive auflösbare Permutationsgruppen, Math. Z., 68 (1957), 126-150.
5) B. Huppert, Endliche Gruppen I, Springer, Berlin, 1967.
6) N. Ito, On doubly transitive groups of degree n and order 2(n-1)n, Nagoya Math. J., 27 (1966), 409-417.
7) H. Kimura, On doubly transitive permutation groups of degree n and order 2p(n-1)n, I, II, Osaka J. Math., 7 (1970), (to appear).
8) H. Lüneburg, Charakterisierungen der endlichen desarguesschen projectiven Ebenen, Math. Z., 85 (1964), 419-450.
9) H. Lüneburg, Transitive Erweiterungen endlicher Permutationsgruppen, Springer, Berlin, 1969.
10) R. Noda and H. Yamaki, A characterization of the alternating groups of degrees six and seven, Osaka J. Math., 7 (1970), (to appear).
11) D. Parrott, On the Mathieu groups M₂₂ and M₁₁, J. Austral. Math. Soc., 11 (1970), 69-81.
12) M. Suzuki, Finite groups of even order in which Sylow 2-groups are independent, Ann. Math., 80 (1964), 58-77.
13) H. Wielandt, Beziehungen zwischen den Fixpunktzahlen von Automorphismengruppen einer endlichen Gruppe, Math. Z., 73 (1960), 146-158.

Right : [1] D. Gorenstein, Finite groups in which Sylow 2-subgroups are abelian and centralizers of involutions are solvable, Canad. J. Math., 17 (1965), 860-896.
[2] D. Gorenstein, Finite groups the centralizers of whose involutions have normal 2-complements, Canad. J. Math., 21 (1969), 335-357.
[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] B. Huppert, Zweifach transitive auflösbare Permutationsgruppen, Math. Z., 68 (1957), 126-150.
[5] B. Huppert, Endliche Gruppen I, Springer, Berlin, 1967.
[6] N. Ito, On doubly transitive groups of degree n and order 2(n-1)n, Nagoya Math. J., 27 (1966), 409-417.
[7] H. Kimura, On doubly transitive permutation groups of degree n and order 2p(n-1)n, I, II, Osaka J. Math., 7 (1970), (to appear).
[8] H. Lüneburg, Charakterisierungen der endlichen desarguesschen projectiven Ebenen, Math. Z., 85 (1964), 419-450.
[9] H. Lüneburg, Transitive Erweiterungen endlicher Permutationsgruppen, Springer, Berlin, 1969.
[10] R. Noda and H. Yamaki, A characterization of the alternating groups of degrees six and seven, Osaka J. Math., 7 (1970), (to appear).
[11] D. Parrott, On the Mathieu groups M₂₂ and M₁₁, J. Austral. Math. Soc., 11 (1970), 69-81.
[12] M. Suzuki, Finite groups of even order in which Sylow 2-groups are independent, Ann. Math., 80 (1964), 58-77.
[13] H. Wielandt, Beziehungen zwischen den Fixpunktzahlen von Automorphismengruppen einer endlichen Gruppe, Math. Z., 73 (1960), 146-158.

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