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.
| Identifer | oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/185403 |
| Date | January 1991 |
| Creators | Adongo, Harun Paulo Kasera. |
| Contributors | May, Warren, Toubassi, E., Grove, L. |
| Publisher | The University of Arizona. |
| Source Sets | University of Arizona |
| Language | English |
| Detected Language | English |
| Type | text, Dissertation-Reproduction (electronic) |
| 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. |
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