Cohomology Rings of Finite Groups (eBook, PDF)

Cohomology Rings of Finite Groups (eBook, PDF)

With an Appendix: Calculations of Cohomology Rings of Groups of Order Dividing 64

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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...

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