Action type geometrical equivalence of representations of groups

• Date: 2018
• Main Authors: Plotkin, B., Tsurkov, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/945
• Journal Title: Algebra and Discrete Mathematics

In the paper we prove (Theorem 8.1) that there exists a continuum of non isomorphic simple modules over \(KF_{2}\) , where \( F_{2}\)  is a free group with \(2\)  generators (compare with [Ca] where a continuum of non isomorphic simple \(2\)-generated groups is constructed). Using this fact we give...