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Remarks on some one-ended groups

  • Daniele Ettore Otera EMAIL logo
Veröffentlicht/Copyright: 24. Oktober 2025
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Abstract

In this note, we study the condition of being one-ended for a particular class of discrete groups, namely groups acting freely and co-compactly on some CAT(0) square complexes. In particular, we furnish an algorithm that associates to a one-ended squared group another square complex which is “smaller” and more tractable than the one given by the definition of the group, in particular with nicer local connectivity conditions.

MSC 2010: 20F67; 20-08
  1. (Communicated by Anatolij Dvurečenskij)

References

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Received: 2025-05-03
Accepted: 2025-07-16
Published Online: 2025-10-24
Published in Print: 2025-10-27

© 2025 Mathematical Institute Slovak Academy of Sciences

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Heruntergeladen am 15.12.2025 von https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0078/html
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