On the Residuality a Finite Group of HNN-Extensions
Group Theory
2007-05-23 v1
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.
Cite
@article{arxiv.math/0701498,
title = {On the Residuality a Finite Group of HNN-Extensions},
author = {D. I. Moldavanskii},
journal= {arXiv preprint arXiv:math/0701498},
year = {2007}
}
Comments
12 pages. This is a translation from Russian of the paper published in Vestnik of Ivanovo State University, 2000, issue 3, p. 129-140