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

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• ISSN: 1726-3255
• Main Authors: Bier, A., Sushchansky, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152783
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees / A. Bier, V. Sushchansky // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 19-38. — Бібліогр.: 22 назв. — англ.

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 rooted trees. Mos...