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On the Residuality a Finite Group of HNN-Extensions

D. I. Moldavanskii
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Abstract

A criterion for the HNN-extension of a finite p-group to be residually a finite p-group is obtained and based on this criterion the sufficient condition for residuality a finite p-group of HNN-extension with arbitrary base group is proved. Then these results are applied to give for groups from two classes of one-relator groups the necessary and sufficient condition to be residually a finite p-group.

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D. I. Moldavanskii. 2007-01-18. On the Residuality a Finite Group of HNN-Extensions. https://arxiv.org/abs/math/0701498

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