A short note on the noncoprime regular module problem

• Datum: 2020
• Hauptverfasser: Ercan, G., Güloğlu , Ş.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6028
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Considering a special configuration in which a finite group $A$ acts by automorphisms on а finite group $G$ and the semidirect product $GA$ acts on the vector space $V$ by linear transformations, we discuss the existence of a regular $A$-module in $V_{{A}}.$