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Ascending derived series. (English) Zbl 0070.25405


Keywords:

group theory
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References:

[1] Mevr. Dr. T. Van Aardenne-Ehrenfest [1] Vraagstuk 3 . Wiskundige Opgaven 19 (1949). Cf. also [6].
[2] P. Hall [2] Finiteness conditions for soluble groups . Proc. London Math. Soc. (3) 4, 419-436 (1954). · Zbl 0056.25603 · doi:10.1112/plms/s3-4.1.419
[3] K.A. Hirsch [3] On infinite soluble groups, I-V . Proc. London Math. Soc. (2) 44, 53-60 (1938); 44, 336-344 (1938); 49, 184-194 (1946); J. London Math. Soc. 27, 81-85 (1952); 29, 250-251 (1954). · Zbl 0055.01603 · doi:10.1112/jlms/s1-29.2.250
[4] Nathan Jacobson [4] Lectures in Abstract Algebra, vol. I: Basic Concepts . Van Nostrand, New York &c. 1951. · Zbl 0326.00001
[5] Nathan Jacobson [5] Lectures in Abstract Algebra , vol. II: Linear Algebra. Van Nostrand, New York &c. 1953. · Zbl 0053.21204
[6] L. Lips [6] Oplossing van Vraagstuk 3. Wiskundige Opgaven met de Oplossingen : Wiskundig Genootschap te Amsterdam, 19, 4-6 (1950).
[7] B.H. Neumann [7] Some remarks on infinite groups . J. London Math. Soc. 12, 120-127 (1937). · Zbl 0016.29501 · doi:10.1112/jlms/s1-12.46.120
[8] B.H. Neumann [8] On a special class of infinite groups . Nieuw Archief voor Wiskunde 23, 117-127 (1950). · Zbl 0035.29403
[9] B.H. Neumann [9] Groups with finite classes of conjugate elements . Proc. London Math. Soc. (3) 1, 178-187 (1951). · Zbl 0043.02401 · doi:10.1112/plms/s3-1.1.178
[10] B.H. Neumann and Hanna Neumann [10] A remark on generalized free products . J. London Math. Soc. 25, 202-204 (1950). · Zbl 0038.01203 · doi:10.1112/jlms/s1-25.3.202
[11] Hans Zassenhaus [11] Lehrbuch der Gruppentheorie , 1. Band. Teubner, Leipzig & Berlin 1937. · Zbl 0018.00901
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