Action type geometrical equivalence of representations of groups

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Authors: Plotkin, B., Tsurkov, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157336
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Action type geometrical equivalence of representations of groups / B. Plotkin, A. Tsurkov // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 48–79. — Бібліогр.: 17 назв. — англ.

In the paper we prove (Theorem 8.1) that there exists a continuum of non isomorphic simple modules over KF₂, where F₂ 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 an example of a non ac...