학술논문
A criterion for the F-residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks.
Document Type
Article
Author
Source
Subject
*CYCLIC groups
*NILPOTENT groups
*FREE products (Group theory)
*FINITE groups
*FINITE, The
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Language
ISSN
0037-4466
Abstract
Let G be the free product of nilpotent groups A and B of finite rank with amalgamated cyclic subgroup H, H ≠ A and H ≠ B. Suppose that, for some set π of primes, the groups A and B are residually F, where F is the class of all finite p-groups. We prove that G is residually F if and only if H is F-separable in A and B. [ABSTRACT FROM AUTHOR]