On the Residuality a Finite Group of HNN-Extensions

Details On the Residuality a Finite Group of HNN-Extensions On the Residuality a Finite Group of HNN-Extensions

2007-01-18

arxiv.org/abs/math/0701498v1

Mathematics

Group Theory

12 pages. This is a translation from Russian of the paper published in Vestnik of Ivanovo State University, 2000, issue 3, p.

Scientific paper

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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