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Title: Partial groups
Author: Assiry, Abdullah
ISNI:       0000 0004 7653 5298
Awarding Body: University of Birmingham
Current Institution: University of Birmingham
Date of Award: 2018
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In this thesis, we seek to extend some results of group theory to a new structure in algebra, called partial groups. Initially, we will prove a number of basic results of partial groups, introducing the elementary concepts of partial groups as abelian, nilpotent, homomorphism partial groups and Coprime Action on partial groups and some other ideas. After that, we are going to prove some results of characteristic p members in partial groups. These results are two uniqueness theorems of characteristic p members and further uniqueness theorems in partial groups. The principle result of this work is an extension of the Solvable Signalizer Functor Theorem to partial groups.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics