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Gröbner Bases and the Computation of Group Cohomology

✍ Scribed by David J. Green (auth.)

Book ID
127396706
Publisher
Springer
Year
2003
Tongue
English
Weight
778 KB
Edition
1
Category
Library
ISBN
3540396802

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Associative Rings and Algebras

📜 SIMILAR VOLUMES

Cohomology, stratifications and parametr
Cohomology, stratifications and parametric Gröbner bases in characteristic zero
✍ Uli Walther 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 193 KB

Let P K (n, d) be the set of polynomials in n variables of degree at most d over the field K of characteristic zero. We show that there is a number c n,d such that if f ∈ P K (n, d) then the algebraic de Rham cohomology group H i dR (K n \Var( f )) has rank at most c n,d . We also show the existence