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Negative / Null Result ReportOpen accessMathematics

Accessibility of partially acylindrical actions

Michael Edward Hill · 2021 · arXiv

WASTE classifies this as Negative / Null Result Report · AI classification, approximate

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Abstract (excerpt)

In a pervious paper Weidmann shows that there a bound on the number of orbits of edges in a tree on which a finitely generated group acts $(k,C)$-acylindrically. In this paper we extend this result to actions which are $k$-acylindrical except on a family of groups with "finite height". We also give an example which gives a negative result to a conjecture of Weidmann from the same paper and produce a sharp bound for groups acting $k$--acylindrically.

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Metadata source: arXiv