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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Cohomology Rings of Finite Groups
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Cohomology Rings of Finite Groups
Jon F. Carlson, L. Townsley, Luís Valero-Elizondo, Mucheng Zhang (Taschenbuch, Englisch)
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Beschreibung
Group cohomology has a rich history that goes back a century or more. Its origins are rooted in investigations of group theory and num ber theory, and it grew into an integral component of algebraic topology. In the last thirty years, group cohomology has developed a powerful con nection with finite group representations. Unlike the early applications which were primarily concerned with cohomology… in low degrees, the in teractions with representation theory involve cohomology rings and the geometry of spectra over these rings. It is this connection to represen tation theory that we take as our primary motivation for this book. The book consists of two separate pieces. Chronologically, the first part was the computer calculations of the mod-2 cohomology rings of the groups whose orders divide 64. The ideas and the programs for the calculations were developed over the last 10 years. Several new features were added over the course of that time. We had originally planned to include only a brief introduction to the calculations. However, we were persuaded to produce a more substantial text that would include in greater detail the concepts that are the subject of the calculations and are the source of some of the motivating conjectures for the com putations. We have gathered together many of the results and ideas that are the focus of the calculations from throughout the mathematical literature. 106,99 €
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Technische Daten
Erscheinungsdatum
09.12.2010
Sprache
Englisch
EAN
9789048163854
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Algebra and Applications
Sonderedition
Nein
Autor
Jon F. Carlson, L. Townsley, Luís Valero-Elizondo, Mucheng Zhang
Seitenanzahl
776
Einbandart
Taschenbuch
Buch Untertitel
With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64
Schlagwörter
Abelian group, Algebra, Cohomology, Computer, Homological algebra, Representation theory, complexity, computer algebra, homology
Thema-Inhalt
PBM - Geometrie
PBF - Algebra
PBKS - Numerische Mathematik
PBPD - Algebraische Topologie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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