Groups with Bounded Chernikov Conjugate Classes of Elements

• Date: 2002
• Main Authors: Kurdachenko, L. A., Otal, J., Subbotin, I. Ya., Курдаченко, Л. А., Отал, Х., Суботін, І. Я.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4118
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider BCC-groups, that is groups G with Chernikov conjugacy classes in which for every element x ∈ G the minimax rank of the divisible part of the Chernikov group G/C G(x G) and the order of the corresponding factor-group are bounded in terms of G only. We prove that a BCC-group has a Cherniko...