#5694 ⟨a, b | aaaa=1, aaaaa=a⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 10
- Isomorphic to ℤ4 ∗ ℕ
- Infinite cancellative non-commutative monoid
- Element a3b has infinite order
- Reduction order:
- Left-to-right shortlex with a < b
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaaa=1,aaaaa=a ab - -
aaaa=1
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 5697 | ⟨a, b | aaaa=1, aaaab=b⟩ | φ(a) = a, φ(b) = 1 |