A short note on the noncoprime regular module problem

• Date: 2020
• Main Authors: Ercan, G., Güloğlu , Ş.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6028
• Journal Title: 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 $V_{{A}}.$