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Durham e-Theses
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Projective modules of group rings over quadratic number fields

Ahmed, Iftikhar (1994) Projective modules of group rings over quadratic number fields. Doctoral thesis, Durham University.



Let K be a quadratic number field, Ok its ring of integers, and G a cyclic group of order prime p. In this thesis, we study the kernel group D(O(_K)G) and obtain a number of results concerning its order and structure. For K imaginary, we also investigate the subset R(O(_k)G) of the locally free class group CI(O(_k)G) consisting of classes which occur as rings of integers of tame extensions of K with Galois group isomorphic to G. We calculate R(O(_k)G) under a variety of conditions and obtain, for an arbitrary tame extension L o( K with group G, invariants which determine the class of O(_L) in R(O(_k)G).

Item Type:Thesis (Doctoral)
Award:Doctor of Philosophy
Thesis Date:1994
Copyright:Copyright of this thesis is held by the author
Deposited On:16 Nov 2012 10:54

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