Investigation of subalgebra lattices by means of Hasse constants
Abstract
Description
Hasse constants and their basic properties are introduced to facilitate the connection between the lattice of subalgebras of an algebra $C$ and the natural action of the automorphism group $Aut(C)$ on $C$. These constants are then used to describe the lattice of subloops of the smallest nonassociative simple Moufang loop.
20 pages
20 pages