TY  - BOOK
ED  - SpringerLink (Online service)
TI  - Gröbner Bases and the Computation of Group Cohomology
T2  - Lecture Notes in Mathematics,
SN  - 9783540396802
AV  - QA174-183 
U1  - 512.2 23
PY  - 2003///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Algebra
KW  - Group theory
KW  - Group Theory and Generalizations
KW  - Associative Rings and Algebras
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/b93836
ER  -