Geodesic
Finite Groups with a given Number of Conjugate Classes
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 456-464

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

This paper presents a list of all finite groups having exactly six and seven conjugate classes and an outline of the background necessary for the proof, and gives, in particular, two results which may be of independent interest. In 1903 E. Landau (8) proved, by induction, that for each the equation * has only finitely many solutions over the positive integers. 
Poland, John. Finite Groups with a given Number of Conjugate Classes. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 456-464. doi: 10.4153/CJM-1968-042-9
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