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摘要
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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.
Keyword:
Ends
simple connectivity at infinity
cube complexes

