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- W19952724 abstract "Abstract Suppose that the finite group G acts faithfully and irreducibly on the finite G -module V of characteristic p not dividing |G|. The well-known k ( GV )-problem states that in this situation, if k(G V) is the number of conjugacy classes of the semidirect product GV , then k(GV) ≤ |V|. For p —solvable groups, this is equivalent to Brauer's famous k(B) -problem. In 1996, Robinson and Thompson proved the k(GV) problem for large p . This ultimately led to a complete proof of the k(GV) -problem. In this paper, we present a new proof of the k(G V) -problem for large p ." @default.
- W19952724 created "2016-06-24" @default.
- W19952724 creator A5073574614 @default.
- W19952724 date "2005-10-01" @default.
- W19952724 modified "2023-09-23" @default.
- W19952724 title "The k(GV)-problem revisited" @default.
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- W19952724 doi "https://doi.org/10.1017/s144678870001048x" @default.
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