On various rank conditions in infinite groups

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...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2018
Автори: Dixon, M. R., Kurdachenko, L. A., Subbotin, I. Ya.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2018
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/866
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
Назва журналу:Algebra and Discrete Mathematics

Репозитарії

Algebra and Discrete Mathematics
Опис
Резюме: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 the main development of the theory. They illustrate the connections between the different ranks emphasizing, in particular, the connection between the special rank and the Hirsch–Zaitsev rank.