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Generator and relation ranks for finite-dimensional nilpotent Lie algebras. (English. Russian original) Zbl 0404.17007

Algebra Logic 16, 246-253 (1978); translation from Algebra Logika 16, 364-374 (1977).

MSC:

17B30 Solvable, nilpotent (super)algebras
20F05 Generators, relations, and presentations of groups
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References:

[1] H. Koch, ”Zum Satz von Golod-Schafarewitsch,” J. Reine Angew. Math.,274/275, 240–243 (1975). · Zbl 0307.12009 · doi:10.1515/crll.1975.274-275.240
[2] J. Wisliceny, Wissenschaftliche Zeitschrift der PN Güstrow (to be published).
[3] N. Bourbaki, Lie Groups and Lie Algebras, Addison-Wesley. · Zbl 1120.17001
[4] É. B. Vinbert, On the theorem of the infinity of associative algebras,” Izv. Akad. Nauk SSSR, Ser. Mat.,29, No. 1, 209–214 (1965).
[5] E. S. Golod and I. R. Shafarevich, ”On a tower of a field of classes,” Izv. Akad. Nauk SSSR, Ser. Mat.,28, No. 2, 261–272 (1964). · Zbl 0136.02602
[6] H. Cartan and S. Eilenberg, Homological Algebra, Princeton Univ. Press, Princeton, New Jersey (1956).
[7] A. I. Kostrikin, ”On the specification of groups by generators and defining relations,” Izv. Akad. Nauk, SSSR, Ser. Mat.,29, No. 5, 1119–1122 (1965).
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