Searching for small simple automorphic loops

Details Searching for small simple automorphic loops Searching for small simple automorphic loops

2010-06-19

arxiv.org/abs/1006.3886v2

Mathematics

Group Theory

15 pages. V2: revisions following suggestions of referee, to appear in LMS J. Computation and Mathematics

Scientific paper

A loop is (right) automorphic if all its (right) inner mappings are automorphisms. Using the classification of primitive groups of small degrees, we show that there is no nonassociative simple commutative automorphic loop of order less than $2^{12}$, and no nonassociative simple automorphic loop of order less that 2500. We obtain examples of nonassociative simple right automorphic loops.

Affiliated with

Also associated with

No associations

Rating

Searching for small simple automorphic loops 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 Searching for small simple automorphic loops, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Searching for small simple automorphic loops will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-185698