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Creators/Authors contains: "Jankiewicz, Kasia"

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  1. ; (, Proceedings of the Edinburgh Mathematical Society)
    Abstract We prove that the Center Conjecture passes to the Artin groups whose defining graphs are cones, if the conjecture holds for the Artin group defined on the set of the cone points. In particular, it holds for every Artin group whose defining graph has exactly one cone point. 
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    Free, publicly-accessible full text available February 1, 2026
  2. ; (, Journal of pure and applied algebra)
    We prove that for every prime p algebraically clean graphs of groups are vir- tually residually p-finite and cohomologically p-complete. We also prove that they are cohomologically good. We apply this to certain 2-dimensional Artin groups. 
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    Free, publicly-accessible full text available January 5, 2026
  3. ; (, Journal of Pure and Applied Algebra)
    Free, publicly-accessible full text available January 1, 2026
  4. ; ; ; (, Topology proceedings)
    Accepted Manuscript Full Text Available
  5. ; ; (, Bulletin of the London Mathematical Society)
    Abstract Given a non‐positively curved cube complex , we prove that the quotient of defined by a cubical presentation satisfying sufficient non‐metric cubical small‐cancellation conditions is hyperbolic provided that is hyperbolic. This generalises the fact that finitely presented classical small‐cancellation groups are hyperbolic. 
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    Full Text Available 
  6. ; (, New York Journal of Mathematics)
    Accepted Manuscript Full Text Available
  7. (, Groups, Geometry, and Dynamics)
    Full Text Available 
  8. ; (, Journal of Algebra)
    Full Text Available 
  9. (, Advances in Mathematics)
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  10. ; (, Journal of the London Mathematical Society)
    The Tits Conjecture, proved by Crisp and Paris, states that squares of the standard generators of any Artin group generate an obvious right-angled Artin subgroup. We consider a larger set of elements consisting of all the centers of the irreducible spherical special subgroups of the Artin group, and conjecture that sufficiently large powers of those elements generate an obvious right-angled Artin subgroup. This alleged right-angled Artin subgroup is in some sense as large as possible; its nerve is homeomorphic to the nerve of the ambient Artin group. We verify this conjecture for the class of locally reducible Artin groups, which includes all 2-dimensional Artin groups, and for spherical Artin groups of any type other than 𝐸₆, 𝐸₇, 𝐸₈. We use our results to conclude that certain Artin groups contain hyperbolic surface subgroups, answering questions of Gordon, Long and Reid. 
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