A Brief Note on the Noncoprime Regular Module Problem

Ercan G., Güloğlu Ş.

Ukrainian Mathematical Journal, vol.72, no.11, pp.1837-1841, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 72 Issue: 11
  • Publication Date: 2021
  • Doi Number: 10.1007/s11253-021-01892-4
  • Journal Name: Ukrainian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1837-1841
  • Middle East Technical University Affiliated: Yes

Abstract

© 2021, Springer Science+Business Media, LLC, part of Springer Nature.We consider a special configuration in which a finite group A acts by automorphisms on a finite group G and the semidirect product GA acts on the vector space V by linear transformations and discuss the existence of a regular A-module in VA.