On subgroups of finite index in branch groups

JOURNAL OF ALGEBRA

卷:397

Article

Garrido, Alejandra¹  Wilson, John S.¹ 

[1] Math Inst, Oxford OX1 3LB, England

关键词: Branch groups;    Groups acting on trees;    Commensurability;    Direct products;    Subgroups of finite index;   

DOI  :  10.1016/j.jalgebra.2013.08.025

来源: Elsevier

【 摘 要 】

We give a structural description of the normal subgroups of subgroups of finite index in branch groups in terms of rigid stabilizers. This gives further insight into the structure lattices of branch groups introduced by the second author. We derive a condition concerning abstract commensurability of branch groups acting on the p-ary tree for any prime p. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free