138 citations · 1.8k across the 93 of their papers we have counts for
18 papers · 1 filter
Groups associated to 1-minimal models for binomial -algebras
Richard D. Porter, Alexander I. Suciu
We give an explicit, cochain-level algebraic model for the pronilpotent completion of a group with finitely generated first cohomology. To each binomial -dga over…
Alexander invariants and cohomology jump loci in group extensions
Alexander I. Suciu
We study the integral, rational, and modular Alexander invariants, as well as the cohomology jump loci of groups arising as extensions with trivial algebraic monodromy. Our focus i…
Lower central series and split extensions
Jacques Darné, Alexander I. Suciu
Following Lazard, we study the -series of a group and their associated graded Lie algebras. The main examples we consider are the lower central series (LCS), Stallings' rati…
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…
Residually finite rationally groups
Thomas Koberda, Alexander I. Suciu
In this article we develop the theory of residually finite rationally (RFR) groups, where is a prime. We first prove a series of results about the structure of finitely…