Gröbner Bases and the Computation of Group Cohomology / / by David J. Green
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| Autore: |
Green David J
|
| Titolo: |
Gröbner Bases and the Computation of Group Cohomology / / by David J. Green
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003 |
| Edizione: | 1st ed. 2003. |
| Descrizione fisica: | 1 online resource (XII, 144 p.) |
| Disciplina: | 510 |
| Soggetto topico: | Group theory |
| Associative rings | |
| Rings (Algebra) | |
| Group Theory and Generalizations | |
| Associative Rings and Algebras | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references (pages [133]-135) and index. |
| Nota di contenuto: | Introduction -- Part I Constructing minimal resolutions: Bases for finite-dimensional algebras and modules; The Buchberger Algorithm for modules; Constructing minimal resolutions -- Part II Cohomology ring structure: Gröbner bases for graded commutative algebras; The visible ring structure; The completeness of the presentation -- Part III Experimental results: Experimental results -- A. Sample cohomology calculations -- Epilogue -- References -- Index. |
| Sommario/riassunto: | This monograph develops the Gröbner basis methods needed to perform efficient state of the art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J. F. Carlson’s minimal resolutions approach to cohomology computations. |
| Titolo autorizzato: | Gröbner bases and the computation of group cohomology |
| ISBN: | 3-540-39680-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910144620303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1828