On the Residuality a Finite Group of HNN-Extensions

On the Residuality a Finite Group of HNN-Extensions

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 c...

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Veröffentlicht in:arXiv.org 2007-01
1. Verfasser: Moldavanskii, D I
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422