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- W1983846062 abstract "Suppose V is a completely reducible faithful G-module for a solvable group G, we show G has a “large” orbit on V. Specifically, there is v∈V such that CG(v) is contained in a normal subgroup of derived length 9 contained in the seventh ascending Fitting subgroup of G. This is in some ways best possible. This is applied to generate many theorems showing that a solvable group must have characters of large degree." @default.
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- W1983846062 date "2009-04-01" @default.
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- W1983846062 title "Orbits of the actions of finite solvable groups" @default.
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- W1983846062 doi "https://doi.org/10.1016/j.jalgebra.2008.12.016" @default.
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