Malnormality and centers in one-relator relative presentations
Group Theory
2012-12-27 v2
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.
Keywords
Cite
@article{arxiv.1212.5173,
title = {Malnormality and centers in one-relator relative presentations},
author = {Denis Lurye},
journal= {arXiv preprint arXiv:1212.5173},
year = {2012}
}
Comments
23 pages, 17 figures. arXiv admin note: substantial text overlap with arXiv:1010.4220