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Gröbner bases and the computation of group cohomology / David J. Green.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1828.Publication details: Berlin ; New York : Springer-Verlag, ©2003.Description: 1 online resource (xi, 138 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540396802
  • 3540396802
Subject(s): Additional physical formats: Print version:: Gröbner bases and the computation of group cohomology.DDC classification:
  • 510 s 512/.46 22
LOC classification:
  • QA3 .L28 no. 1828 QA251.5
Online resources:
Contents:
Bases for finite-dimensional algebras and modules -- The Buchberger algorithm for modules -- Constructing minimal resolutions -- Gröbner bases for graded commutative algebras -- The visible ring structure -- The completeness of the presentation -- Experimental results.
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 133-135) and index.

Bases for finite-dimensional algebras and modules -- The Buchberger algorithm for modules -- Constructing minimal resolutions -- Gröbner bases for graded commutative algebras -- The visible ring structure -- The completeness of the presentation -- Experimental results.

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.

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