Groves, Susan Dancs
A near-field is locally finite if every finite subset of it generates a finite sub-near-field. The main aim of this thesis is to give a coherent account of locally finite-near-fields, including finite ones. The well known results for finite near-fields are lised and proofs are given where appropriate. The results of Zassenhaus classify finite regular near-fields according to their order, pln, and the order of centres, pl, and Luneburg has determined the number of isomorphism types within each...[Show more]
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