1.

Record Nr.

UNISA996466490603316

Autore

Green David J

Titolo

Gröbner Bases and the Computation of Group Cohomology [[electronic resource] /] / by David J. Green

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003

ISBN

3-540-39680-2

Edizione

[1st ed. 2003.]

Descrizione fisica

1 online resource (XII, 144 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1828

Disciplina

510

Soggetti

Group theory

Associative rings

Rings (Algebra)

Group Theory and Generalizations

Associative Rings and Algebras

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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.