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arXiv · 2102.01762

Profinite genus of fundamental groups of compact flat manifolds with the cyclic holonomy group of square-free order

Genildo de Jesus Nery
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Abstract

In this article we study the extent to which an $n$-dimensional compact flat manifold with the cyclic holonomy group of square-free order may be distinguished by the finite quotients of its fundamental group. In particular, we display a formula for the cardinality of profinite genus of the fundamental group of an $n$-dimensional compact flat manifold with the cyclic holonomy group of square-free order.

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Genildo de Jesus Nery. 2021-02-02. Profinite genus of fundamental groups of compact flat manifolds with the cyclic holonomy group of square-free order. https://arxiv.org/abs/2102.01762

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