On the Intersection of Double Cosets in Free Groups, with an Application to Amalgamated Products
نویسندگان
چکیده
منابع مشابه
On the Cyclic Subgroup Separability of Free Products of Two Groups with Amalgamated Subgroup
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Let (Gi | i ∈ I) be a family of groups, let F be a free group, and let G = F ∗ ∗ i∈I Gi, the free product of F and all the Gi. Let F denote the set of all finitely generated subgroups H of G which have the property that, for each g ∈ G and each i ∈ I, H∩Ggi = {1}. By the Kurosh Subgroup Theorem, every element of F is a free group. For each free group H, the reduced rank of H, denoted r̄(H), is d...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1998
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7411