Isomorphism of automorphism groups of mixed modules over a complete discrete valuation ring.

Persistent Link:
http://hdl.handle.net/10150/185403
Title:
Isomorphism of automorphism groups of mixed modules over a complete discrete valuation ring.
Author:
Adongo, Harun Paulo Kasera.
Issue Date:
1991
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Isomorphisms of automorphism groups of reduced torsion abelian p-groups have recently been classified by W. Liebert [L1] and [L2] for p ≠ 2. The primary objective of this study is to investigate the isomorphisms of automorphism groups of reduced mixed modules M and N of torsion-free ranks < ∞ over a complete discrete valuation ring with totally projective torsion submodules t(M) and t(N) respectively. For modules over ℤ(p), p ≠ 2, we show that if AutM and AutN are isomorphic and the quotient modules M/t(M) and N /t(N) are divisible, then M ≃ N.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic; Isomorphisms (Mathematics); Automorphisms
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Mathematics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
May, Warren

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleIsomorphism of automorphism groups of mixed modules over a complete discrete valuation ring.en_US
dc.creatorAdongo, Harun Paulo Kasera.en_US
dc.contributor.authorAdongo, Harun Paulo Kasera.en_US
dc.date.issued1991en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractIsomorphisms of automorphism groups of reduced torsion abelian p-groups have recently been classified by W. Liebert [L1] and [L2] for p ≠ 2. The primary objective of this study is to investigate the isomorphisms of automorphism groups of reduced mixed modules M and N of torsion-free ranks < ∞ over a complete discrete valuation ring with totally projective torsion submodules t(M) and t(N) respectively. For modules over ℤ(p), p ≠ 2, we show that if AutM and AutN are isomorphic and the quotient modules M/t(M) and N /t(N) are divisible, then M ≃ N.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academicen_US
dc.subjectIsomorphisms (Mathematics)en_US
dc.subjectAutomorphismsen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorMay, Warrenen_US
dc.contributor.committeememberToubassi, E.en_US
dc.contributor.committeememberGrove, L.en_US
dc.identifier.proquest9123457en_US
dc.identifier.oclc709771861en_US
All Items in UA Campus Repository are protected by copyright, with all rights reserved, unless otherwise indicated.