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- W1563398510 abstract "We characterize those groups $G$ and vector spaces $V$ such that $V$ is a faithful irreducible $G$-module and such that each $v$ in $V$ is centralized by a $G$-conjugate of a fixed non-identity element of the Fitting subgroup $F(G)$ of $G$. We also determine those $V$ and $G$ for which $V$ is a faithful quasi-primitive $G$-module and $F(G)$ has no regular orbit. We do use these to show in some cases that a non-vanishing element lies in $F(G)$." @default.
- W1563398510 created "2016-06-24" @default.
- W1563398510 creator A5030252583 @default.
- W1563398510 date "2014-06-01" @default.
- W1563398510 modified "2023-09-24" @default.
- W1563398510 title "Group actions related to non-vanishing elements" @default.
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- W1563398510 hasPublicationYear "2014" @default.
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