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Zentralisatorverbände endlicher Gruppen. (German) Zbl 0243.20039


MSC:

20G40 Linear algebraic groups over finite fields
20E15 Chains and lattices of subgroups, subnormal subgroups
20D30 Series and lattices of subgroups
20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
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References:

[1] Alperin , J.L. und Gorenstein , D. : The multiplicators of certain simple groups , Proc. Amer. Math. Soc. 17 ( 1966 ), 515 - 519 . Zbl 0151.02002 · Zbl 0151.02002 · doi:10.2307/2035202
[2] Baer , R. : Partitionen endlicher Gruppen , Math. Zeitschr. 75 ( 1961 ), 333 - 372 . Article | Zbl 0103.01404 · Zbl 0103.01404 · doi:10.1007/BF01211032
[3] Baer , R. : Einfache Partitionen endlicher Gruppen mit nichttrivialer Fittingscher Untergruppe , Arch. Math. 12 ( 1961 ), 81 - 89 . Zbl 0102.26903 · Zbl 0102.26903 · doi:10.1007/BF01650528
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[5] Hermes , H. : Einführung in die Verbandstheorie , Springer Verlag , Berlin - Heidelberg - New York 1967 . Zbl 0153.33203 · Zbl 0153.33203
[6] Hughes , D.R. : Partial difference sets , Amer. J. Math. 78 ( 1956 ), 650 - 674 . Zbl 0072.38101 · Zbl 0072.38101 · doi:10.2307/2372676
[7] Huppert , B. : Endliche Gruppen I , Springer Verlag , Berlin - Heidelberg - New York 1967 . Zbl 0217.07201 · Zbl 0217.07201
[8] Ito , N. : On finite groups with given conjugate types I , Nagoya Math. J. 6 ( 1953 ), 17 - 28 . Article | Zbl 0053.01202 · Zbl 0053.01202
[9] Lüneburg , H. : Die Suzukigruppen und ihre Geometrien , Lecture Notes , Springer Verlag 1965 . Zbl 0136.01502 · Zbl 0136.01502 · doi:10.1007/BFb0082211
[10] Meier-Wunderli , H. : Metabelsche Gruppen , Comm. Math. Helv. 25 ( 1951 ), 1 - 10 . Zbl 0044.01505 · Zbl 0044.01505 · doi:10.1007/BF02566442
[11] Schur , I. : Untersuchungen über die Darstellungen der endlichen Gruppen durch gebrochene lineare Substitutionen , J. Math. 132 ( 1907 ), 85 - 137 . JFM 38.0174.02 · JFM 38.0174.02
[12] Schur , I. : Über die Darstellungen der symmetrischen und alternierenden Gruppen durch gebrochene lineare Substitutionen , J. Math. 139 ( 1911 ), 155 - 250 . JFM 42.0154.02 · JFM 42.0154.02
[13] Suzuki , M. : On a class of doubly transitive groups , Annals Math. 75 ( 1962 ), 105 - 145 . Zbl 0106.24702 · Zbl 0106.24702 · doi:10.2307/1970423
[14] Suzuki , M. : On a finite group with a partition , Arch. Math. 12 ( 1961 ), 241 - 254 . Zbl 0107.25902 · Zbl 0107.25902 · doi:10.1007/BF01650557
[15] Vassiliou , P. : Eine Bemerkung über die von dem Zentralisator bestimmte Abbildung, Prakt . Akad. Athēnōn 42 ( 1967 ), 286 - 289 . Zbl 0276.20036 · Zbl 0276.20036
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