Geodesic
Finite p-groups with Homogyclic Central Factors
Canadian journal of mathematics, Tome 26 (1974) no. 3, pp. 636-643

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

If G has nilpotence class c(G) = c, let G = L 1(G) > L 2 (G)> . . . > L c+1(G) = 1 and 1 = Z 0(G) < Z 1(G) < . . . < Zc (G) = G denote the lower central series and upper central series of G respectively. When there is no possibility of confusion we use Li for Li (G) and Zi for Zi (G). Throughout the paper we assume that G is a finite p-group of class greater than two. Let B (c, pr ) denote the collection of all G of class c for which Li /L i+i is cyclic of order pr for i = 2, . . . , c and UC(c, pr ) the collection of all G of class c for which Zi /Z i-1 is cyclic of order pr for i = 1, . . . , c – 1. 
Gallian, Joseph A. Finite p-groups with Homogyclic Central Factors. Canadian journal of mathematics, Tome 26 (1974) no. 3, pp. 636-643. doi: 10.4153/CJM-1974-061-7
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