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Grabner Bases and the Computation of Group Cohomology : Lecture Notes in Mathematics - David J. Green

Grabner Bases and the Computation of Group Cohomology

Lecture Notes in Mathematics

Paperback

Published: January 2004
Ships: 5 to 9 business days
5 to 9 business days
$69.10

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.

Introductionp. 1
Constructing minimal resolutions
Bases for finite-dimensional algebras and modulesp. 13
The Buchberger Algorithm for modulesp. 21
Constructing minimal resolutionsp. 33
Cohomology ring structure
Grobner bases for graded commutative algebrasp. 49
The visible ring structurep. 67
The completeness of the presentationp. 81
Experimental results
Experimental resultsp. 93
Sample cohomology calculationsp. 101
Epiloguep. 131
Referencesp. 133
Indexp. 137
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540203391
ISBN-10: 3540203397
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 144
Published: January 2004
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 0.84
Weight (kg): 0.51