Groups with small cocentralizers

• Date: 2018
• Main Authors: Otal, Javier, Semko, Nikolaj N.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Cocentralizer in a group. Groups with prescribed conjugacy classes: \(FC\)-groups. \(CC\)-groups. \(PC\)-groups. \(MC\)-groups; 20F24; 20F17
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/801
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) be a group. If \(S\subseteq G\) is a \(G\)-invariant subset of \(G\), the factor-group \(G/C_G(S)\) is called the cocentralizer of \(S\) in \(G\). In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of...