English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

In this article we calculate the profinite genus of the fundamental group ofa $n$-dimensional compact flat manifold $X$ with holonomy group of prime order.As consequence, we prove that if $n\leq 21$, then $X$ is determined among all$n$-dimensional compact flat manifolds by the profinite completion of itsfundamental group. Furthermore, we characterize the isomorphism class ofprofinite completion of the fundamental group of $X$ in terms of therepresentation genus of its holonomy group.

Profinite genus of fundamental groups of compact flat manifolds with holonomy group of prime order