Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relatorстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация: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 contains the free square of the initial group and almost always (with one obvious exception) contains a non-abelian free subgroup. If the initial group is involution-free or the relator is at least third power, then the obtained group is SQ-universal and relatively hyperbolic with respect to the initial group.