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arXiv · 0904.1143

A Magnus theorem for some one-relator groups

Oleg Bogopolski·Konstantin Sviridov
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Abstract

We will say that a group G possesses the Magnus property if for any two elements u,v in G with the same normal closure, u is conjugate to v or v^{-1}. We prove that some one-relator groups, including the fundamental groups of closed nonorientable surfaces of genus g>3 possess this property. The analogous result for orientable surfaces of any finite genus was obtained by the first author [Geometric methods in group theory, Contemp. Math, 372 (2005) 59-69].

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BibTeXRIS

Oleg Bogopolski, Konstantin Sviridov. 2009-04-21. A Magnus theorem for some one-relator groups. https://doi.org/10.2140/gtm.2008.14.63

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