Geodesic
Chains of Varieties
Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 190-206

Voir la notice de l'article provenant de la source Cambridge University Press

If is a variety of groups that can be denned by n-variable laws and (m) is the variety all of whose m-generator groups are in then there corresponds the chain: (1) ≧ (2) ≧ . . . ≧ (n) = . In this paper such chains are investigated to determine which of the inclusions are proper for certain varieties . In particular the inclusions are shown to be all proper for the varieties where is the variety of nilpotent-of-class-c groups, is the abelian variety and is the variety of centre-bymetabelian groups. For the inclusions are likewise proper but for the corresponding chain is: 
Gupta, Narain; Levin, Frank; Rhemtulla, Akbar. Chains of Varieties. Canadian journal of mathematics, Tome 26 (1974) no. 1, pp. 190-206. doi: 10.4153/CJM-1974-019-3
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