非hopfian群作为相对双曲群的直接极限的构造

Jan Kim, Donghi Lee
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引用次数: 0

摘要

本文构造了具有显式表示的两类有限生成非hopfian群族,其中第一类满足小消去条件[公式:见文]和[公式:见文],并将这两类群分别解释为相对双曲群和普通双曲群的直接极限。
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Construction of non-Hopfian groups as direct limits of relatively hyperbolic groups
In this paper, we construct a family of two types of finitely generated non-Hopfian groups with explicit presentations, where the first type satisfies small cancellation conditions [Formula: see text] and [Formula: see text], and interpret these groups as direct limits of relatively hyperbolic groups and ordinary hyperbolic groups, respectively.
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