Geodesic
A Class of infinite soluble groups with an A-group condition
Glasgow mathematical journal, Tome 21 (1980) no. 1, pp. 81-84

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

Finite soluble groups in which all the Sylow subgroups are abelian were first investigated by Taunt [8] who referred to them as A-groups. Locally finite groups with the same property have been considered by Graddon [2]. By the use of Sylow theorems it is clear that every section (homomorphic image of a subgroup) of an A-group is also an A-group and hence every nilpotent section of an A-group is abelian. This is the characterization that we use here in considering groups which are not, in general, periodic. 
Tomkinson, M. J. A Class of infinite soluble groups with an A-group condition. Glasgow mathematical journal, Tome 21 (1980) no. 1, pp. 81-84. doi: 10.1017/S001708950000402X
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