Division in group rings of surface groups
Abstract
We prove a division algorithm for group rings of high genus surface groups and use it to show that some 2-complexes with surface fundamental groups are standard. We also give an application of division to cohomological dimension of 2-relator groups acting on Hn.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.