%0 DATA
%A Tim., Hardcastle
%D 2014
%T Normal and characteristic structure in quasigroups and loops
%U https://leicester.figshare.com/articles/thesis/Normal_and_characteristic_structure_in_quasigroups_and_loops/10182623
%2 https://leicester.figshare.com/ndownloader/files/18351023
%K IR content
%X In this thesis I shall be exploring the normal and characteristic structure of quasigroups and loops. In recent years there has been a revival of interest in the theory of loops and in particular in the relationship between the properties of a loop and the properties of its multiplication group; and several powerful new theorems have emerged which allow the structural properties of a loop to be related to its multiplication group. I shall combine these ideas with tools developed at the beginning of loop theory to produce some interesting new theorems, principally relating the order of a finite multiplication group to the structure of its loop.