Group Theory

Download E-books Characteristic Classes and the Cohomology of Finite Groups (Cambridge Studies in Advanced Mathematics) PDF

By C. B. Thomas

The aim of this ebook is to check the relation among the illustration ring of a finite workforce and its critical cohomology through attribute periods. during this manner it truly is attainable to increase the identified calculations and end up a few common effects for the imperative cohomology ring of a bunch G of top strength order. one of the teams thought of are these of p-rank lower than three, extra-special p-groups, symmetric teams and linear teams over finite fields. a major device is the Riemann - Roch formulation which gives a relation among the attribute sessions of an caused illustration, the sessions of the underlying illustration and people of the permutation illustration of the endless symmetric crew. Dr Thomas additionally discusses the results of his paintings for a few mathematics teams in an effort to curiosity algebraic quantity theorists. Dr Thomas assumes the reader has taken uncomplicated classes in algebraic topology, staff idea and homological algebra, yet has incorporated an appendix within which he offers a merely topological facts of the Riemann - Roch formulation.

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