Notation and preliminaries.- Types and rank¿1 groups.- Examples of indecomposable groups and direct sums.- Endomorphism rings and decompositions of rank 2 groups.- Pure subgroups of completely decomposable groups.- Homogeneous completely decomposable groups and generalizations.- Completely decomposable groups and generalizations.- Additive categories, quasi-isomorphism and near-isomorphism.- Stable range, substitution, cancellation, and exchange properties.- Subrings of finite dimensional Q-algebras.- Orders in finite dimensional simple Q-algebras.- Maximal orders in finite dimensional simple Q-algebras.- Near isomorphism and genus class.- Grothendieck groups.- Additive groups of subrings of finite dimensional Q-algebras.- Q-simple and p-simple groups.
| Autorius: | D. M. Arnold |
| Serija: | Lecture Notes in Mathematics |
| Leidėjas: | Springer Berlin Heidelberg |
| Išleidimo metai: | 1982 |
| Knygos puslapių skaičius: | 204 |
| ISBN-10: | 3540115579 |
| ISBN-13: | 9783540115571 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Groups and group theory |
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