D. I. Moldavanskii
Published 2007-01-18Version 1
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.
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
On $Π$-supplemented subgroups of a finite group
Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups
Factorizations in finite groups
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