On the problem of Frattini duality in the theory of Fitting classes

• Date: 2019
• Main Authors: Vorob’ev, N. T., Nanying, Yang, Shuya, Zhao, Воробьев, Н. Т., Наньин, Ян, Шуя, Чжао
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1486
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.542 We determine the application of the Frattini duality to the description of multiple local Fitting classes. In particular, we establish a necessary and sufficient condition for the local Fitting class to be a formation.