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Solvable generation of groups and Sylow subgroups of the lower central series. (English) Zbl 0485.20012

MSC:
20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20F05 Generators, relations, and presentations of groups
20F14 Derived series, central series, and generalizations for groups
20F12 Commutator calculus
20E07 Subgroup theorems; subgroup growth
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References:
[1] Gorenstein, D, Finite groups, (1968), Harper & Row New York · Zbl 0185.05701
[2] \scR. Guralnick, Commutators and commutator subgroups, Adv. in Math., in press. · Zbl 0505.20022
[3] Rodney, D, Commutators and abelian groups, J. austral. math. soc. ser. A, 24, 79-91, (1977) · Zbl 0372.20028
[4] Wielandt, H, Finite permutation groups, (1964), Academic Press New York · Zbl 0138.02501
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