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Gröbner Bases and the Computation of Group Cohomology - David J. Green

Gröbner Bases and the Computation of Group Cohomology

(Autor)

Buch | Softcover
XII, 144 Seiten
2003 | 2003
Springer Berlin (Verlag)
978-3-540-20339-1 (ISBN)
CHF 52,35 inkl. MwSt

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.

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.

Erscheint lt. Verlag 18.11.2003
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo XII, 144 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 260 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Schlagworte 20J06, 16S15, 16E05, 16Z05, 20C05, 20D15 • Algebra • cohomology • Cohomology of finite groups • Computational homological algebra • Gröbner basis • Gruppe (Mathematik) • Noncommutative Gröbner bases
ISBN-10 3-540-20339-7 / 3540203397
ISBN-13 978-3-540-20339-1 / 9783540203391
Zustand Neuware
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