On the free product of two groups with an amalgamated subgroup of finite index in each factor
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چکیده
منابع مشابه
On the Cyclic Subgroup Separability of Free Products of Two Groups with Amalgamated Subgroup
Let G be a free product of two groups with amalgamated subgroup, π be either the set of all prime numbers or the one-element set {p} for some prime number p. Denote by Σ the family of all cyclic subgroups of group G, which are separable in the class of all finite π-groups. Obviously, cyclic subgroups of the free factors, which aren’t separable in these factors by the family of all normal subgro...
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Symmetric Random Walks on Certain Amalgamated Free Product Groups
We consider nearest–neighbor random walks on free products of finitely many copies of the integers with amalgamation over nontrivial subgroups. When all the subgroups have index two, we find the Green function of the random walks in terms of complete elliptic integrals. Our technique is to apply Voiculescu’s operator–valued R–transform.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1970
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1970-0263928-2