Root Class Residuality of HNN-Extensions with Central Cyclic Associated Subgroups

E. V. Sokolov ; E. A. Tumanova

Matematičeskie zametki, Tome 102 (2017) no. 4, pp. 597-612.

Résumé

Let $\mathcal{R}$ 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 $\mathcal{R}$-residuality of an HNN-extension whose associated subgroups are cyclic and belong to the center of the base group is obtained.

Détail

Keywords: root class residuality, residual solvability, residual $p$-finiteness, HNN-extension.

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