#2583 ⟨a, b | aaa=1, abbb=ab⟩
Quick links
- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 9
- Isomorphic to ℤ3 ∗ ℕ(3 = 1)
- Infinite non-commutative monoid
- Reduction order:
- Left-to-right shortlex with a < b
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaa=1,abbb=ab ab
aaa=1
bbb=b
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
5 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 7495 | ⟨a, b | aaa=1, aaabbb=b⟩ | φ(a) = a, φ(b) = b |
| 10 | 7535 | ⟨a, b | aaa=1, baaabb=b⟩ | φ(a) = a, φ(b) = b |
| 10 | 8037 | ⟨a, b | aaa=1, aaab=bbb⟩ | φ(a) = a, φ(b) = b |
| 11 | 22773 | ⟨a, b | aaa=1, aabbb=aab⟩ | φ(a) = a, φ(b) = b |
| 11 | 22812 | ⟨a, b | aaa=1, abbba=aba⟩ | φ(a) = a, φ(b) = b |