Root class residuality of HNN-extensions with central cyclic associated subgroups

Let R be a root class of groups which is closed with respect to passage to quotient groups and contains at least one nonidentity group. A criterion for the R -residuality of an HNN-extension whose associated subgroups are cyclic and belong to the center of the base group is obtained.

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Bibliographic Details
Published inMathematical Notes Vol. 102; no. 3-4; pp. 556 - 568
Main Authors Sokolov, E. V., Tumanova, E. A.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.09.2017
Springer Nature B.V
Subjects
Mathematics
Mathematics and Statistics
Subgroups
residual p-finiteness
HNN-extension
residual solvability
root class residuality
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Summary:Let R be a root class of groups which is closed with respect to passage to quotient groups and contains at least one nonidentity group. A criterion for the R -residuality of an HNN-extension whose associated subgroups are cyclic and belong to the center of the base group is obtained.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434617090280