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Title of article :
Group actions related to non-vanishing elements
Author/Authors :
ولف، توماس ر. نويسنده Department of Mathematics, Ohio University Athens, OH 45701, USA Wolf, Thomas R.
Issue Information :
فصلنامه با شماره پیاپی 0 سال 2014
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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).
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory
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