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arXiv · 2403.13715

Multi-EGS-groups: exponent of congruence quotients

Elena Maini
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Abstract

Given a multi-EGS-group $K$ acting on the $p$-adic rooted tree, where $p$ is any prime number, we compute the exponent of the congruence quotient $K_n= K/ \St_K(n)$ for all $n\ge 1$. The formula that we obtain for $\exp(K_n)$ only depends on $p$, $n$ and the periodicity of $K$.

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Elena Maini. 2024-03-20. Multi-EGS-groups: exponent of congruence quotients. https://arxiv.org/abs/2403.13715

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