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Title: Inverse deformation problems for special linear and symplectic groups
Author: Eardley, Timothy
ISNI:       0000 0004 5916 1722
Awarding Body: University of Sheffield
Current Institution: University of Sheffield
Date of Award: 2015
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The principal result of this thesis is an affirmative answer to the inverse deformation problem which asks: Does a given complete noetherian local ring have a realisation as the unrestricted universal deformation ring of any residual representation? This is proved in two ways: firstly a complete answer is given using the family of special linear groups over complete noetherian local rings and secondly, if the finite field does not have 3 elements or does not have characteristic 2, it is answered using the family of symplectic groups. Of central importance to the result in the symplectic case is the establishment of a structure theorem for subgroups of special linear groups which surject onto symplectic groups over finite fields.
Supervisor: Manoharmayum, Jayanta Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available