We prove that Artin groups from a class containing all large‐type Artin groups are systolic.
This provides a concise yet precise description of their geometry. Immediate consequences …

arXiv:1604.06387v2 [math.GR] 9 May 2016 Page 1 arXiv:1604.06387v2 [math.GR] 9 May
2016 INTRODUCTION TO THE RAPID DECAY PROPERTY INDIRA CHATTERJI Abstract. This …

We prove that for every $ n\geq 2$, the reduced group $ C^* $-algebras of the countable
free groups $ C^* _r (\mathbb {F} _n) $ have strict comparison. Our method works in a …

We describe a simple locally CAT (0) classifying space for XXL type Artin groups (with all
labels at least 5). Furthermore, when the Artin group is not dihedral, we describe a rank 1 …

Shortlex automaticity and geodesic regularity in Artin groups Page 1 Groups Complex. Cryptol.
5 (2013), 1 – 23 DOI 10.1515/gcc-2013-0001 © de Gruyter 2013 Shortlex automaticity and …

We describe a simple locally CAT (0) classifying space for extra extra large type Artin groups
(with all labels at least 5). Furthermore, when the Artin group is not dihedral, we describe a …

This is a survey of methods of proving or disproving the rapid decay property in groups. We
present a centroid property of group actions on metric spaces. That property is a generalized …

We prove that some classes of triangle-free Artin groups act properly on locally finite, finite-
dimensional CAT (0) cube complexes. In particular, this provides the first examples of Artin …

We describe a constructive, cubic time solution to the conjugacy problem in Artin groups of
extra-large type, which was proved soluble in those groups in [2]. We use results from [7],[6] …

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