.png){kind=icon}
.png){kind=icon}
Return
On the coherence of one-relator groups and their group algebras
.png){kind=icon}
PRE
AI
A
M
DOI：10.4007/annals.2025.201.3.4.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We prove that one-relator groups are coherent, solving a well-known problem of Gilbert Baumslag. Our proof strategy is readily applicable to many classes of groups of cohomological dimension two. We show that fundamental groups of two complexes with non-positive immersions are homologically coherent, we show that groups with staggered presentations and many Coxeter groups are coherent and we show that group algebras over fields of characteristic zero of groups with reducible presentations without proper powers are coherent.
Keywords:
one-relator groups
non-positive immersions
L2-Betti numbers
division ring embeddings
coherence
homological coherence
ring coherence
Journal
IF:
5.3
Papers:
1.4K
Citations:
1.6W
Organization
Cited Papers