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math.GR2012
Malnormality and centers in one-relator relative presentations
Denis Lurye
Let H be a group obtained from a group G by adding one generator and one relator which is a proper power of a unimodular word. The main aim of this paper is to prove that G is a ma…
math.GR2010★ 7 cited
Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator
Anton A. Klyachko, Denis E. Lurye
A group obtained from a nontrivial group by adding one generator and one relator which is a proper power of a word in which the exponent-sum of the additional generator is one cont…