A short note on the noncoprime regular module problem

We consider a special configuration in which a finite group $A$ acts by automorphisms on the finite group $G$, and the semidirect product $GA$ acts on the vector space $V$ by linear transformations; and discuss the existence of the regular $A$-module in $V_{_{A}}$.

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Hauptverfasser:	Ercan, Gülin, Güloğlu, İsmail Ş
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Sprache:	eng
Schlagworte:	Mathematics - Group Theory
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creator	Ercan, Gülin Güloğlu, İsmail Ş
description	We consider a special configuration in which a finite group $A$ acts by automorphisms on the finite group $G$, and the semidirect product $GA$ acts on the vector space $V$ by linear transformations; and discuss the existence of the regular $A$-module in $V_{_{A}}$.
doi_str_mv	10.48550/arxiv.1907.13201
format	Article
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title	A short note on the noncoprime regular module problem
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