Kaluzhnin's representations of Sylow \(p\)-subgroups of automorphism groups of \(p\)-adic rooted trees

• Date: 2018
• Main Authors: Bier, Agnieszka, Sushchansky, Vitaliy
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Sylow \(p\)-subgroups of wreath products of groups; homogeneous rooted trees; automorphisms of trees; 20B27; 20E08; 20B22; 20B35; 20F65; 20B07
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1172
• Journal Title: Algebra and Discrete Mathematics

The paper concerns the  Sylow \(p\)-subgroups of automorphism groups of level homogeneous rooted trees. We recall and summarize the results obtained by L.Kaluzhnin on the structure of Sylow \(p\)-subgroups of isometry groups of ultrametric Cantor \(p\)-spaces in terms of automorphism groups of roote...