Almost layer finiteness of a periodic group without involutions

• Date: 1999
• Main Authors: Senashov, V. I., Сенашов, В. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4754
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove a theorem that characterizes the class of almost layer finite groups in the class of periodic groups without involutions: If the normalizer of any nontrivial finite subgroup of a periodic conjugate biprimitive finite group without involutions is almost layer finite, then the group itself is...