Group invariants of certain Burn loop classes

Research paper by Gabor P. Nagy

Indexed on: 14 Nov '04Published on: 14 Nov '04Published in: Mathematics - Group Theory


In 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.