Peter Patzt

activity

20162026

most citedCentral stability for the homology of congruence subgroups and the second homology of Torelli groups

19 citations · 106 across the 21 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.AT2024

Hopf algebras, Steinberg modules, and the unstable cohomology of $S L_{n} (Z)$ and $G L_{n} (Z)$

Avner Ash, Jeremy Miller, Peter Patzt

We prove that the direct sum of all homology groups of the integral general linear groups with Steinberg module coefficients form a commutative Hopf algebra, in particular a free g…

math.AT2024★ 2 cited

Uniform twisted homological stability

Jeremy Miller, Peter Patzt, Dan Petersen +1

We prove a homological stability theorem for families of discrete groups (e.g. mapping class groups, automorphism groups of free groups, braid groups) with coefficients in a sequen…

Hopf algebras, Steinberg modules, and the unstable cohomology of SLn​(Z) and GLn​(Z)

Uniform twisted homological stability

Hopf algebras, Steinberg modules, and the unstable cohomology of $S L_{n} (Z)$ and $G L_{n} (Z)$