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International Journal of Mathematics and Mathematical Sciences
Volume 2010, Article ID 803243, 14 pages
Research Article

Conjugacy Separability of Some One-Relator Groups

1Department of Mathematics and Computer Science, University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
2Department of Algebra and Mathematical Logic, Ivanovo State University, 39, Ermak St, Ivanovo 153025, Russia

Received 12 November 2009; Accepted 25 May 2010

Academic Editor: Howard Bell

Copyright © 2010 D. Tieudjo and D. I. Moldavanskii. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Conjugacy separability of any group of the class of one-relator groups given by the presentation 𝑎 , 𝑏 ; [ 𝑎 𝑚 , 𝑏 𝑛 ] = 1 ( 𝑚 , 𝑛 > 1 ) is proven. The proof made used of theoretical combinatorial group methods, namely the structure of amalgamated free products and some properties of the subgroups and quotients of any group of the class of one-relator groups given above.