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arXiv · 2103.02304

Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups

Yu-miao Cui·Yue-ping Jiang·Wen-yuan Yang
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Abstract

This paper proves that in a non-elementary relatively hyperbolic group, the logarithm growth rate of any non-elementary subgroup has a linear lower bound by the logarithm of the size of the corresponding generating set. As a consequence, any non-elementary subgroup has uniform exponential growth.

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Yu-miao Cui, Yue-ping Jiang, Wen-yuan Yang. 2021-03-03. Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups. https://arxiv.org/abs/2103.02304

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