A subgroup H ≤ G is commensurated if H : H ∩gHg-1 ∞ for all g ϵ G. We show that a finitely generated branch group is just infinite if and only if every commensurated subgroup is either finite or of finite index. As a consequence, every commensurated subgroup of the Grigorchuk group and many other branch groups of independent interest is either finite or of finite index
We study soluble groups G in which each subnormal subgroup H with infinite rank is commensurable wit...
AbstractA residually finite (profinite) group G is just infinite if every non-trivial (closed) norma...
Abstract We prove that the abstract commensurator of a nontrivial free group, an infinite surface gr...
We first recall a completion operation which takes as input a group with a commensurated subgroup an...
Further properties of a group Γ introduced by the first author in 1980 (sometimes called the first G...
Let G be a group and Γ1,Γ2 < G. Γ1 and Γ2 are called commensurable if Γ1 ∩ Γ2 has finite index in...
We determine the abstract commensurator Com. F/ of Thompson's group F and describe it in terms of pi...
We study groups in which each subnormal subgroup is commensurable with a normal subgroup. Recall tha...
22 pagesRecently, the so-called subgroup induction property attracted the attention of mathematician...
This thesis is a study of the subgroup structure of some remarkable groups of automorphisms of roote...
Two subgroups H and K of a group are commensurable iff their intersection has finite index in both ...
A well-known theorem of B. H. Neumann states that a group has finite conjugacy classes of subgroups ...
AbstractLet G be a group and H a subgroup. It is shown that the set of indices {[H: H ∩ gHg−1]¦g ϵ G...
AbstractAn old idea of M. Hall on finitely generated subgroups of free groups is developed. We show ...
A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G suc...
We study soluble groups G in which each subnormal subgroup H with infinite rank is commensurable wit...
AbstractA residually finite (profinite) group G is just infinite if every non-trivial (closed) norma...
Abstract We prove that the abstract commensurator of a nontrivial free group, an infinite surface gr...
We first recall a completion operation which takes as input a group with a commensurated subgroup an...
Further properties of a group Γ introduced by the first author in 1980 (sometimes called the first G...
Let G be a group and Γ1,Γ2 < G. Γ1 and Γ2 are called commensurable if Γ1 ∩ Γ2 has finite index in...
We determine the abstract commensurator Com. F/ of Thompson's group F and describe it in terms of pi...
We study groups in which each subnormal subgroup is commensurable with a normal subgroup. Recall tha...
22 pagesRecently, the so-called subgroup induction property attracted the attention of mathematician...
This thesis is a study of the subgroup structure of some remarkable groups of automorphisms of roote...
Two subgroups H and K of a group are commensurable iff their intersection has finite index in both ...
A well-known theorem of B. H. Neumann states that a group has finite conjugacy classes of subgroups ...
AbstractLet G be a group and H a subgroup. It is shown that the set of indices {[H: H ∩ gHg−1]¦g ϵ G...
AbstractAn old idea of M. Hall on finitely generated subgroups of free groups is developed. We show ...
A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G suc...
We study soluble groups G in which each subnormal subgroup H with infinite rank is commensurable wit...
AbstractA residually finite (profinite) group G is just infinite if every non-trivial (closed) norma...
Abstract We prove that the abstract commensurator of a nontrivial free group, an infinite surface gr...
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