Automorphisms of restricted parabolic trees and Sylow p-subgroups of the finitary symmetric group

作者：Bier Agnieszka^*; Leshchenko Yuriy; Sushchanskyy Vitally

来源：Journal of Algebra, 2016, 452: 401-426.

DOI：10.1016/j.jalgebra.2015.12.019

• Finitary symmetric group
• Restricted parabolic trees
• Automorphism groups of forests
• Sylow p-subgroups

In the paper we introduce the notion of a k-adic restricted parabolic tree D-k and investigate the group Aut D-k of automorphisms of this tree. In particular, we characterize the Sylow p-subgroups in the subgroup Aut(f) D-p of finitary automorphisms of a p-adic restricted parabolic tree. Then we use the characterization for the classification of Sylow p-subgroups in the finitary symmetric group FSN.

• 出版日期2016-4-15