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Near-Isomorphism and Type-Isomorphism
| Content Provider | Scilit |
|---|---|
| Author | Mader, A. |
| Copyright Year | 2000 |
| Description | In this chapter a weakening of isomorphism is introduced and studied. The concepts of “near-isomorphism” and “stable equivalence” were introduced by Lady ([Lad74], [Lad75]). It will be shown that near-isomorphism coincides with typeisomorphism for almost completely decomposable groups. We saw in Chapter 8 that type-isomorphism, and so near-isomorphism, is a weakening of isomorphism that substantially simplifies classification and does not require the exact knowledge of the divisibilities of types, an insurmountable problem in principle. We will further study the common features of nearly isomorphic groups and find that they share many important properties. Most prominently, near-isomorphic groups have very similar decomposition properties and the deepest results in the theory of almost completely decomposable groups were obtained by combining classification up to near-isomorphism with the preservation principles of decompositions. Book Name: Almost Completely Decomposable Groups |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2009-0-18781-0&isbn=9780429078439&doi=10.1201/9781482287486-15&format=pdf |
| Ending Page | 194 |
| Page Count | 14 |
| Starting Page | 181 |
| DOI | 10.1201/9781482287486-15 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2000-03-09 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Almost Completely Decomposable Groups History and Philosophy of Science Insurmountable Type Isomorphism Substantially |
| Content Type | Text |
| Resource Type | Chapter |
