On fibers and accessibility of groups acting on trees with inversions

• Date: 2015
• Main Author: Mahmood, Rasheed Mahmood Saleh
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2015
• Subjects: Ends of groups; groups acting on trees; accessible groups; 20E06; 20E086; 20F05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/66
• Journal Title: Algebra and Discrete Mathematics

Throughout this paper the actions of groups on graphs with inversions areallowed. An element g of a group \(G\) is called inverter if there exists a tree\(X\) where \(G\) acts such that \(g\) transfers an edge of \(X\) into its inverse.\(A\) group \(G\) is called accessible if \(G\) is finitely gene...