Collineation groups of the smallest Bol 3-nets

Details Collineation groups of the smallest Bol 3-nets Collineation groups of the smallest Bol 3-nets

2004-11-14

arxiv.org/abs/math/0411317v1

Mathematics

Group Theory

Appeared in Note di Matematica 14(1):115-128, 1994

Scientific paper

Some associativity properties of a loop can be interpreted as certain closure configuration of the corresponding 3-net. It was known that the smallest non-associative loops with the so called left Bol property have order 8. In this paper, we determine the direction preserving collineation groups of the 3-nets belonging to these smallest Bol loops. For that, we prove some new results concerning collineations of 3-nets and autotopisms of loops.

Affiliated with

Also associated with

No associations

Rating

Collineation groups of the smallest Bol 3-nets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Collineation groups of the smallest Bol 3-nets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collineation groups of the smallest Bol 3-nets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-256825