Invariants of finite solvable groups

• Date: 2018
• Main Authors: Monakhov, Victor, Trofimuk, Alexander
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: derived length; nilpotent lengths; \(p\) -length; \(\pi\)-length,nilpotent \(\pi\)-length; rank; \(p\)-rank; metacyclic group; bicyclic group; \(\pi\)-solvable group; 20D10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/714
• Journal Title: Algebra and Discrete Mathematics

The article contains the results about invariants of solvable groups with given structure of Sylow subgroups and  information about the nilpotent \(\pi\)-length of \(\pi\)-solvable groups. Open questions are formulated.