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Title: Profinite Lie algebras
Author: Christodoulou, Costa Andrew
ISNI:       0000 0001 3549 5080
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1979
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It is well-known that the theory of finite dimensional Lie algebras is similar in many ways to the theory of finite groups. Noting the way that finite groups are generalised to certain periodic FC-groups (see Baer, [2], for example), we can likewise generalise finite dimensional Lie algebras; alternatively we can study ideally finite Lie algebras by using ideas from the theory of periodic FG-groups, drawing analogies as far as possible (see Stewart, [15], for example). We can also extend the theory of finite groups to profinite groups (see for example Hartley, [6]) using the ideas and methods used for finite groups and periodic FC-groups. In this thesis we study profinite Lie algebras from two viewpoints: by using the ideas and methods of ideally finite Lie algebras, and by analogy with profinite groups. Some of the ideas can be traced to the corresponding situation for algebraic groups, that is pro-affine algebraic groups (see Hochschild, [7], and Hochschild and Mostow, [8]), for example the definition of coset topology in Hochschild and Mostow, p1130, suggests the definition of the affine topology.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics