Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.486261
Title: Lower K-theory of unitary groups
Author: Zhang, Zuhong
Awarding Body: Queen's University Belfast
Current Institution: Queen's University Belfast
Date of Award: 2008
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Abstract:
The study of the sandwich classification theorem of unitary hyperbolic groups over commutative form ring (R, A) (in the sense of Bak) is naturally inspired by the sandwich classification theorem of general linear groups, which is initialed by Bak in a manuscript in 1967. In Chapter 1, we briefly review the history of the developing of normal and subnormal structure problems in the setting of general linear group and unitary group, as well as the co~nectionwith other problems. The proofs of sandwich. classification theorem and the structure theorem of subnormal subgroups of general linear group are given in details in Chapter 2. The brief introduction of Bak's form ring and unitary groups, and their fundamental properties are reproduced in Chapter 3. In chapter 4, we study the main theorem of the thesis, i.e., sandwich classification theorem for unitary groups. Furthermore the properties of two important classes of subgroups are studied, i.e., the subnormal subgroups of unitary. groups and mixed commutator subgroups of unitary groups. The final Chapter contains a weaker sandwich theorem on non-stable unitary groups and its proof.
Supervisor: Not available Sponsor: Not available
Qualification Name: Queen's University Belfast, 2008 Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.486261  DOI: Not available
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