Green Gröbner Bases and the Computation of Group Cohomology
Erscheinungsjahr 2003
ISBN: 978-3-540-39680-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 144 Seiten, Web PDF
Reihe: Mathematics and Statistics
ISBN: 978-3-540-39680-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
