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Title: Whitehead group of the Iwasawa algebra of GL2(Zp)
Author: Solanki, Vishal
ISNI:       0000 0004 7427 9040
Awarding Body: King's College London
Current Institution: King's College London (University of London)
Date of Award: 2018
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Main conjectures in Iwasawa theory are interesting because they give a deep connection between arithmetic and analytic objects in number theory. One of the most important recent developments in Iwasawa theory is the formulation of non-commutative main conjectures by Coates, Fukaya, Kato, Sujatha and Venjakob using K1 groups. Burns and Kato supplied a strategy to prove these non-commutative main conjectures. After important special cases were proved by Kato and Hara, the non-commutative main conjecture for totally real fields was proved by Kakde using this strategy (it was proved independently by Ritter-Weiss). In this thesis we imitate Kakde’s computation of K1 groups in order to obtain a description of the K1 group of the Iwasawa algebra of GL2(Zp). While we do not find an explicit description of this group, we do define another group which must contain this K1 group.
Supervisor: Kakde, Mahesh Ramesh ; Burns, David John Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available