$T_0$-group and its place in the theory of groups

• Date: 1999
• Main Authors: Shunkov, V. P., Шунков, В. П.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4643
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A class of $T_0$-groups is characterized which is closely associated with free Burnside groups with odd period not less than 665. Examples based on the well-known Adyan and Olshanskii constructions are given. In addition, the place of a finite group in the class of all groups is indicated.