Geodesic
On groups with decomposable commutator subgroups
Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 159-162

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

Let G be a group. We define λ(G) to be the smallest integer n such that every element of the commutator subgroup G′ is a product of n commutators. Ito [4] has shown that λ (An)= 1 for all n. Thompson [7] has shown that λ (SLn(q))= 1 for all n and q. In fact, there is no known simple group G such that λ(G)>1. However, there do exist such perfect groups (cf. [7]). 
Guralnick, Robert M. On groups with decomposable commutator subgroups. Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 159-162. doi: 10.1017/S0017089500003578
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