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Record Nr. |
UNINA9910438148503321 |
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Autore |
Bencsath Katalin A |
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Titolo |
Lectures on finitely generated solvable groups [[electronic resource] /] / by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman |
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Pubbl/distr/stampa |
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New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
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ISBN |
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1-283-90905-7 |
1-4614-5450-6 |
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Edizione |
[1st ed. 2013.] |
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Descrizione fisica |
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1 online resource (62 p.) |
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Collana |
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SpringerBriefs in Mathematics, , 2191-8198 |
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Disciplina |
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Soggetti |
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Group theory |
Combinatorics |
Algebra |
Commutative algebra |
Commutative rings |
Group Theory and Generalizations |
General Algebraic Systems |
Commutative Rings and Algebras |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Foreword -- Preface.- Preliminaries.- Tools: Presentations and their Calculus.- Constructions -- Representations and a Theorem of Krasner and Kaloujnine.- The Bieri-Strebel Theorems -- Finitely Generated Metabelian Groups -- An Embedding Theorem for Finitely Generated Metabelian Groups .- Sketch of Proof of Lemma 1.1 -- Theorem 2.1 Details -- Presenting an (Internal) HNN-Extension -- References. |
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Sommario/riassunto |
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Lectures on Finitely Generated Solvable Groups are based on the “Topics in Group Theory" course focused on finitely generated solvable groups that was given by Gilbert G. Baumslag at the Graduate School and University Center of the City University of New York. While knowledge about finitely generated nilpotent groups is extensive, much less is known about the more general class of solvable groups containing them. The study of finitely generated solvable groups |
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