Abstract
The motivation for this book is the desire to perform complete calculations of cohomology rings in the cohomology theory of finite groups. The theories presented here belong to that area of computational algebra known as noncommutative Gröbner bases. It happens that existing Gröbner basis methods perform particularly poorly here, and so new types of Gröbner bases had to be developed, informed by practical computability considerations.
Keywords
- Spectral Sequence
- Simple Module
- Cohomology Ring
- Basic Algebra
- Minimal Resolution
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2003 Springer-Verlag Berlin Heidelberg
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Green, D.J. (2003). Introduction. In: Gröbner Bases and the Computation of Group Cohomology. Lecture Notes in Mathematics, vol 1828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39680-2_1
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DOI: https://doi.org/10.1007/978-3-540-39680-2_1
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20339-1
Online ISBN: 978-3-540-39680-2
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