2017
Том 69
№ 9

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Residual finiteness of descending HNN-extension of groups

Moldavanskii D. I.

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Abstract

The paper examines the special case of the general construction of HNN-extensions of groups in which at least one of the associated subgroups is the base group. A criterion is determined for a group obtained in this way to be residually finite. Any group obtained as such an extension from a free nilpotent group of finite rank is residually finite.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 6, pp 758-760.

Citation Example: Moldavanskii D. I. Residual finiteness of descending HNN-extension of groups // Ukr. Mat. Zh. - 1992. - 44, № 6. - pp. 842–845.

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