Description |
1 online resource (xvi, 342 pages) |
Series |
Oxford mathematical monographs |
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Oxford mathematical monographs.
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Contents |
1. Basic results on soluble and nilpotent groups -- 2. Nilpotent groups -- 3. Soluble linear groups -- 4. The theory of finitely generated soluble groups I -- 5. Soluble groups of finite rank -- 6. Finiteness conditions on abelian subgroups -- 7. The theory of finitely generated soluble groups II -- 8. Centrality in finitely generated soluble groups -- 9. Algorithmic theories of finitely generated soluble groups -- 10. Cohomological methods in infinite soluble group theory -- 11. Finitely presented soluble groups -- 12. Subnormality and solubility |
Summary |
The central concept of this book is that of a soluble group: a group that is built up from abelian groups by repeatedly forming group extensions. It covers finitely generated soluble groups soluble groups of finite rank, modules over group rings, & much else within the boundaries of soluble group theory |
Bibliography |
Includes bibliographical references (pages 290-334) and indexes |
Notes |
Print version record |
Subject |
Infinite groups.
|
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Solvable groups.
|
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MATHEMATICS -- Group Theory.
|
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Infinite groups
|
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Solvable groups
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Form |
Electronic book
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Author |
Robinson, Derek John Scott, author
|
ISBN |
142378894X |
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9781423788942 |
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0198507283 |
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9780198507284 |
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9780191523151 |
|
0191523151 |
|
9780191709326 |
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0191709328 |
|