26 citations · 70 across the 7 of their papers we have counts for
5 papers · 1 filter
Taylor expansions of groups and filtered-formality
Alexander I. Suciu, He Wang
Let be a finitely generated group, and let be its group algebra over a field of characteristic . A Taylor expansion is a certain type of map from to the degre…
Chen ranks and resonance varieties of the upper McCool groups
Alexander I. Suciu, He Wang
The group of basis-conjugating automorphisms of the free group of rank , also known as the McCool group or the welded braid group , contains a much-studied subgroup, calle…
The pure braid groups and their relatives
Alexander I. Suciu, He Wang
In this mostly survey paper, we investigate the resonance varieties, the lower central series ranks, and the Chen ranks, as well as the residual and formality properties of several…
Pure virtual braids, resonance, and formality
Alexander I. Suciu, He Wang
We investigate the resonance varieties, lower central series ranks, and Chen ranks of the pure virtual braid groups and their upper-triangular subgroups. As an application, we give…
Formality properties of finitely generated groups and Lie algebras
Alexander I. Suciu, He Wang
We explore the graded and filtered formality properties of finitely generated groups by studying the various Lie algebras over a field of characteristic 0 attached to such groups,…