Groups whose non-normal subgroups have small commutator subgroup

• Date: 2018
• Main Authors: De Falco, M., de Giovanni, F., Musella, C.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: normal subgroup; commutator subgroup; 20F24
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/857
• Journal Title: Algebra and Discrete Mathematics

The structure of groups whose non-normal subgroups have a finite commutator subgroup is investigated. In particular, it is proved that if \(k\) is a positive integer and \(G\) is a locally graded group in which every non-normal subgroup has finite commutator subgroup of order at most \(k\), then the...