Gröbner Bases and the Computation of Group Cohomology [electronic resource].
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2003.
- XII, 144 p. online resource.
- Lecture Notes in Mathematics, 1828 0075-8434 ; .
- Lecture Notes in Mathematics, 1828 .
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.
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.
9783540396802
10.1007/b93836 doi
Mathematics.
Algebra.
Group theory.
Mathematics.
Group Theory and Generalizations.
Associative Rings and Algebras.
QA174-183
512.2
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.
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.
9783540396802
10.1007/b93836 doi
Mathematics.
Algebra.
Group theory.
Mathematics.
Group Theory and Generalizations.
Associative Rings and Algebras.
QA174-183
512.2