2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73235In this paper, we determine the collineation groups generated by the Bol reflections, the core, the automorphism groups and the full direction preserving collineation groups of the loops $B_{4n}$ and $C_{4n}$ given by R.P. Burn. We also prove some lemmas and use new methods in order to simplify the calculations in these groups.Appeared in Bull. Belg. Math. Soc., 5:403-415, 1998Group Theory20N05text