Geodesic
Groups of breadth four have class five
Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 141-148

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

A conjecture of reputable vintage states that c(G)≤b(G) + l for a finite p-group G of class c(G) and breadth b(G). This result has been proved in a medley of special cases and in particular whenever b(G)≤3. We now prove it for b(G) = 4. 
Macdonald, I. D. Groups of breadth four have class five. Glasgow mathematical journal, Tome 19 (1978) no. 2, pp. 141-148. doi: 10.1017/S0017089500003530
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