On various rank conditions in infinite groups

• Date: 2018
• Main Authors: Dixon, M. R., Kurdachenko, L. A., Subbotin, I. Ya.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: rank; Hirsh-Zaitsev rank; special rank; 20E25; 20E34; 20F19
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/866
• Journal Title: Algebra and Discrete Mathematics

In the current survey the authors consider some of the main theorems concerning groups satisfying certain rank conditions. They present these theorems starting with recently established results. This order of exposition is different, indeed opposite to chronological, but it allows them to present th...