This article is cited in 23 papers

On the root-class residuality of generalized free products with a normal amalgamation

E. A. Tumanova<sup>ab

a</sup> Chair of the Higher Mathematics and Information Science, Ivanovo Fire and Rescue Academy, 33 Stroitelei Ave., Ivanovo, 153040 Russia
^b Chair of Algebra and Mathematical Logic, Ivanovo State University, 39 Ermaka str., Ivanovo, 153025 Russia

Abstract: We obtain both necessary and sufficient conditions for the free product of two groups with normal amalgamated subgroups to be a residually $\mathcal C$-group, where $\mathcal C$ is a root class of groups, which must be homomorphically closed in most cases.

Keywords: generalized free product, residual property, root class of groups.

UDC: 512.543

Received: 23.02.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:10, 23–37

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