Some related to pronormality subgroup families and the properties of a group

• Date: 2018
• Main Authors: Kirichenko, Vladimir V., Kurdachenko, Leonid A., Subbotin, Igor Ya.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: normal subgroups; subnormal subgroup; contranormal subgroup; abnormal subgroups; pronormal subgroups; transitivity of normality; permutable subgroups; soluble group; radical group; locally graded group; 20E15; 20E34; 20F19,20F22
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/661
• Journal Title: Algebra and Discrete Mathematics

Some influential families of subgroups such as pronormal subgroups, contranormal subgroups, and abnormal subgroups, their generalizations, characterizations, interplays between them and the group, and their connections to other types of subgroups have been considered.