S. N. Chernikov and the development of infinite group theory

• Date: 2018
• Main Authors: Dixon, M. R., Kirichenko, V. V., Kurdachenko, L. A., Otal, J., Semko, N. N., Shemetkov, L. A., Subbotin, I. Ya.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: infinite groups; finiteness conditions; generalized soluble groups; generalized nilpotent groups; Chernikov groups; FC – groups; CC – groups; 20-00; 20B07; 20C07; 20E15; 20E07; 20E25; 20E26; 20E28; 20E34,20E36; 20E45; 20F14; 20F16; 20F18; 20F19; 20F22; 20F24; 20F50
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/700
• Journal Title: Algebra and Discrete Mathematics

In this survey, the authors want to show the development and continuation of some studies, in which S.N.Chernikov stood as the main originator and to demonstrate clearly the extent of influence exerted by the ideas and results of S.N.Chernikov on the modern theory of infinite groups.