Representations of solvable groups

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The role of representation theory in algebra is an important one and in this book Manz and Wolf concentrate on that part of the theory that relates to solvable groups. In particular, modules over finite fields are studied, but also some applications to ordinary and Brauer characters of solvable groups are given. The authors include a proof of Brauer's height-zero conjecture and a new proof of Huppert's classification of 2-transitive solvable permutation groups.

Author(s): Olaf Manz, Thomas R. Wolf
Series: London Mathematical Society lecture note series 185
Publisher: Cambridge University Press
Year: 1993

Language: English
Pages: 158
City: Cambridge; New York