|
Abstract.
The correspondence between central group extensions and 2-cocycles
carries to the nonassociative case. By carefully investigating the
coboundaries and the action of the automorphism group on the
2-cocycles, we classify centrally nilpotent loops of small orders with
minimal usage of computers. We also obtain a formula for the number of
nilpotent loops of order 2p and describe its asymptotic behavior. This
is joint work with Dan Daly.
|