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arXiv · 1212.5173

Malnormality and centers in one-relator relative presentations

Denis Lurye
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Abstract

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 malnormal subgroup of H. This implies that if G is a nontrivial group, then the group H has a trivial center.

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Denis Lurye. 2012-12-23. Malnormality and centers in one-relator relative presentations. https://arxiv.org/abs/1212.5173

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