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Title: Almost completely decomposable groups with two critical types and their endomorphism rings
Authors: Lewis, Wayne
Issue Date: 1992
Abstract: An almost completely decomposable group with two critical types is a direct sum of rank-one groups and indecomposable rank-two groups. A complete set of near isomorphism invariants for an acd group with two critical types is the isomorphism class of the regulator and the isomorphism class of the regulator quotient; with one additional invariant, namely an element of a certain quotient group of (Ζ/m Ζ)^x , a complete set of isomorphism invariants for an acd group with two critical types is obtained. Finally, the endomorphism ring of an acd group with two critical types is computed and the resulting structure is used to give an example of two nearly isomorphic groups with non-isomorphic endomorphism rings.
Description: Thesis (Ph. D.)--University of Hawaii at Manoa, 1992.
Includes bibliographical references (leaves 48-49)
Microfiche.
iv, 49 leaves, bound 29 cm
URI: http://hdl.handle.net/10125/9960
Rights: All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
Appears in Collections:Ph.D. - Mathematics
Ph.D. Dissertations- Mathematics Department



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