EAN: 9783110411492

TEXTBOOK STRUCTURE THEOREMS OF UNIT GROUPSVOL...

This two-volume graduate textbook gives a comprehensive  state-of-the-art account of describing
large subgroups of the unit group of the integral group ring of a finite group and  more
generally  of the unit group of an order in a finite dimensional semisimple rational algebra.
Since the book is addressed to graduate students as well as young researchers  all required
background on these diverse areas  both old and new  is included. Supporting problems
illustrate the results and complete some of the proofs. Volume 1 contains all the details on
describing generic constructions of units and the subgroup they generate. Volume 2 mainly is
about structure theorems and geometric methods. Without being encyclopaedic  all main results
and techniques used to achieve these results are included. Basic courses in group theory  ring
theory and field theory are assumed as background.

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