TL;DR
This paper surveys fundamental aspects of finite presentation across groups, Lie algebras, and rings, offering new results and elementary proofs, with a focus on algebraic approaches to coherence.
Contribution
It introduces new results and simpler proofs regarding finite presentation and coherence, emphasizing algebraic methods over homological ones.
Findings
Examples of Stallings and Roos on coherence analyzed algebraically
New elementary proofs of existing results provided
Enhanced understanding of finite presentation properties
Abstract
This paper surveys basic properties of finite presentation in groups, Lie algebras and rings. It includes some new results and also new, more elementary proofs, of some results that are already in the literature. In particular, we discuss examples of Stallings and of Roos on coherence by using a purely algebraic, nonhomological, approach.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.