Geodesic
On E-groups in the sense of Peng
Glasgow mathematical journal, Tome 31 (1989) no. 2, pp. 231-242

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

The groups G of the title are those in which EG(x) = {y | y ∈ G, [y, nx] = 1 for some n} is a subgroup for every x in G. We show that the quotient group G/F(G) is rather restricted for finite E-groups; in particular, soluble finite E-groups are of Fitting length 4 at most. Some criteria for infinite groups are given. 
Heineken, Hermann. On E-groups in the sense of Peng. Glasgow mathematical journal, Tome 31 (1989) no. 2, pp. 231-242. doi: 10.1017/S0017089500007783
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