On direct decompositions in modules over group rings

• Date: 1997
• Main Authors: Petrenko, B. V., Петренко, Б. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5002
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the theory of infinite groups, one of the most important useful generalizations of the classical Maschke theorem is the Kovačs-Newman theorem, which establishes sufficient conditions for the existence of G-invariant complements in modules over a periodic group G finite over the center. We genrali...