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The derived series of a join of subnormal subgroups. (English) Zbl 0224.20034


MSC:

20F14 Derived series, central series, and generalizations for groups
20D35 Subnormal subgroups of abstract finite groups
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References:

[1] Hall, P.: Some sufficient conditions for a group to be nilpotent. Illinois J. Math.2, 787-801 (1958). · Zbl 0084.25602
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[4] McLain, D. H.: A characteristically simple group. Proc. Cambridge Philos. Soc.50, 641-642 (1954). · Zbl 0056.02201
[5] Neumann, B. H.: An essay on free products of groups with amalgamations. Philos. Trans. Roy. Soc. London (A)246, 503-554 (1954). · Zbl 0057.01702
[6] Robinson, D. S.: Joins of subnormal subgroups. Illinois J. Math.9, 144-168 (1965). · Zbl 0135.04805
[7] Roseblade, J. E.: The permutability of orthogonal subnormal subgroups. Math. Z.90, 365-372 (1965). · Zbl 0131.02203
[8] ?: A note on subnormal coalition classes. Math. Z.90, 373-375 (1965). · Zbl 0134.26101
[9] ? Stonehewer, S. E.: Subjunctive and locally coalescent classes of groups. J. Algebra8, 423-435 (1968). · Zbl 0192.35004
[10] Stonehewer, S. E.: The join of finitely many subnormal subgroups. Bull. London Math. Soc.2, 77-82 (1970). · Zbl 0197.29903
[11] Wielandt, H.: Eine Verallgemeinerung der invarianten Untergruppen. Math. Z.45, 209-244 (1939). · JFM 65.0061.02
[12] ?: Vertauschbare nachinvariante Untergruppen. Abh. Math. Sem. Univ. Hamburg21, 55-62 (1957). · Zbl 0077.02802
[13] Zassenhaus, H.: The theory of groups, 2nd. ed. New York: Chelsea 1958. · Zbl 0083.24517
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