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Zur Kompositionsstruktur endlicher Gruppen mit Halluntergruppen. (German) Zbl 0147.27101


MSC:

20Exx Structure and classification of infinite or finite groups
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References:

[1] Barnes, D.W.: Onp-solubility and the projection into a Sylowp-subgroup. Math. Z.78, 135-140 (1962). · Zbl 0102.26801 · doi:10.1007/BF01195160
[2] Gaschütz, W.: Über die ?-Untergruppe endlicher Gruppen. Math. Z.58, 160-170 (1953). · Zbl 0050.02202 · doi:10.1007/BF01174137
[3] Graf, K.-D.: Zur Kompositions- und Normalstruktur endlicher Gruppen mit Hallgruppen. Dissertation Mainz 1966.
[4] Hall, M.: The theory of groups. New York: Macmillan 1959. · Zbl 0084.02202
[5] Hall, P.: On the Sylow systems of a soluble group. Proc. Lond. Math. Soc. (2),43, 316-323 (1937). · Zbl 0017.15401 · doi:10.1112/plms/s2-43.4.316
[6] ?: Theorems like Sylow’s. Proc. Lond. Math. Soc. (3),6, 286-304 (1956). · Zbl 0075.23907 · doi:10.1112/plms/s3-6.2.286
[7] ? andG. Higman: On thep-length ofp. soluble groups and reduction theorems for Burnsides’s problem. Proc. Lond. Math. Soc. (3),6, 1-42 (1956). · Zbl 0073.25503 · doi:10.1112/plms/s3-6.1.1
[8] Huppert, B.: Subnormale Untergruppen undp-Sylowgruppen. Acta Scient. Math. Szeged22, 46-60 (1961). · Zbl 0096.24804
[9] Roquette, P.: Über die Existenz von Hallkomplementen in endlichen Gruppen. Journ. of Alg.1, 342-346 (1964). · Zbl 0166.28702 · doi:10.1016/0021-8693(64)90013-4
[10] Wielandt, H.: Eine Verallgemeinenerung der invarianten Untergruppen. Math. Z.45, 209-244 (1939). · JFM 65.0061.02 · doi:10.1007/BF01580283
[11] ?: Zum Satz von Sylow. Math. Z.60, 407-408 (1954). · Zbl 0056.25601 · doi:10.1007/BF01187386
[12] ?: Sylowgruppen und Kompositionsstruktur. Abh. Math. Sem. Hamburg22, 215-228 (1958). · Zbl 0168.27103 · doi:10.1007/BF02941954
[13] ?: Sylowtürme in subnormalen Untergruppen. Math. Z.73, 386-392 (1960). · Zbl 0093.02401 · doi:10.1007/BF01215322
[14] Wielandt, H. andB. Huppert: Arithmetical and normal structure of finite groups. Proc. Symp. in Pure Math. VI, Americ. Math. Soc. 17-38 (1962). · Zbl 0122.03303
[15] Zassenhaus, H.: The theory of groups, 2. Aufl. Göttingen: Vandenhoeck & Ruprecht 1958.
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