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Semi-Invariants and Weights of Group Algebras of Finite Groups

Proceedings of the American Mathematical Society / v.127 no.5. 1999, pp.1323-1329

Author : Passman, D.S. ; Wauters, P.

Abstract : We study the semi-invariants and weights of a group algebra K[G] over a field K of characteristic zero. Specifically, we show that certain basic results which hold when G is a polycyclic-by-finite group with $\Delta ^{+}$ (G) = 1 need not hold in the case of group algebras of finite groups. This turns out to be a purely group theoretic question about the existence of class preserving automorphisms.

Keyword : Primary 16S34, 20D15, 20D45

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