Group invariants of certain Burn loop classes

Details Group invariants of certain Burn loop classes Group invariants of certain Burn loop classes

2004-11-14

arxiv.org/abs/math/0411318v1

Mathematics

Group Theory

Appeared in Bull. Belg. Math. Soc., 5:403-415, 1998

Scientific paper

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.

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