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Panferov, B. A.

Nilpotent groups with lower central factors of minimal ranks. (English. Russian original) Zbl 0472.20013

Algebra Logic 19, 455-458 (1981); translation from Algebra Logika 19, 701-706 (1980).
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Cited in 1 Review
Cited in 2 Documents

MSC:

20F18 Nilpotent groups
20F14 Derived series, central series, and generalizations for groups
20D15 Finite nilpotent groups, \(p\)-groups

Keywords:

lower central series; nilpotent group of maximal class; derived length; nilpotent Lie algebras

Citations:

Zbl 0353.20020
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\textit{B. A. Panferov}, Algebra Logic 19, 455--458 (1981; Zbl 0472.20013); translation from Algebra Logika 19, 701--706 (1980)
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References:

[1] M. Hall, Jr., The Theory of Groups, MacMillan, New York (1959).
[2] N. Jacobson, Lie Algebras, Interscience, New York–London (1962). · Zbl 0121.27504
[3] A. I. Maltsev, ”A class of homogeneous spaces,” Izv. Akad. Nauk SSSR, Ser. Mat.,13, No. 1, 9–32 (1949). · Zbl 0034.01701
[4] A. I. Mal’tsev, ”Nilpotent torsion-free groups,” Izv. Akad. Nauk SSSR, Ser. Mat.,13, No. 3, 201–212 (1949).
[5] N. Blackburn, ”On a special class of p-groups,” Acta Math.,100, 45–92 (1958). · Zbl 0083.24802
[6] C. R. Leedham-Green and S. McKay, ”On p-groups of maximal class. I,” Q. J. Math.,27, No. 107, 297–311 (1976). · Zbl 0353.20020
[7] C. R. Leedham-Green and S. McKay, ”On p-groups of maximal class. II,” Q. J. Math.,29, No. 114, 175–186 (1978). · Zbl 0383.20016
[8] C. R. Leedham-Green and S. McKay, ”On p-groups of maximal class. III,” Q. J. Math.,29, No. 115 (1978). · Zbl 0403.20013
[9] M. Lazard, ”Sur les groupes nilpotents et les anneaux de Lie,” Ann. Sci. Ecole Norm. Super., Ser. 3,71, 101–190 (1954). · Zbl 0055.25103
[10] M. Lazard, ”Quelques calculs concernant la formule de Hausdorff,” Bull. Soc. Math. France,91, 435–451 (1963). · Zbl 0117.02003
[11] J. L. Alperin, ”Automorphisms of solvable groups,” Proc. Am. Math. Soc.,13, No. 2, 175–180 (1962). · Zbl 0104.02801
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