Let F be the mapping class group of an orientable surface F of genus g with r boundary
components and s punctures. The main theorem of this paper is that for g> 3k-1, Hk (F) is …

Let R be a commutative finite dimensional noetherian ring or, more generally, an associative
ring which satisfies one of Bass' stable range conditions. We describe a modified version of …

We study analogues of FI-modules where the role of the symmetric group is played by the
general linear groups and the symplectic groups over finite rings, and we prove basic …

The purpose of these notes is to give an exposition of recent work of several people on the
topology and geometry of the moduli space of curves. Moduli space may be approached in …

We prove a homological stability theorem for families of discrete groups (eg mapping class
groups, automorphism groups of free groups, braid groups) with coefficients in a sequence …

The tree representation of Z,+ 1 Page 1 3 JOURNAL OF PURE AND APPLIED ALGEBRA
EISEVIER Journal of Pure and Applied Algebra 111 (1996) 245-253 The tree representation …

Let A be an associative ring and M a finitely generated projective A-module. We introduce a
category RBS (M) and prove several theorems which show that its geometric realisation …

Improved homological stability for certain general linear groups - Kupers - 2022 -
Proceedings of the London Mathematical Society - Wiley Online Library Skip to Article …

Homological stability for sequences G n→ G n+ 1→⋯ of groups is often proved by studying
the spectral sequence associated to the action of G n on a highly connected simplicial …

We introduce a set of combinatorial techniques for studying the simplicial bounded
cohomology of semi-simplicial sets, simplicial complexes and posets. We apply these …