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Normal and characteristic structure in quasigroups and loops

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thesis
posted on 15.12.2014 by Tim. Hardcastle
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.
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Date of award

01/01/2003

Author affiliation

Mathematics

Awarding institution

University of Leicester

Qualification level

Doctoral

Qualification name

PhD

Language

en

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