#13500 ⟨a, b | aaabb=1, bbbbbb=1⟩
Contents
- Properties
- Rewriting system
- Isomorphic instances
- Sum of relation sides is 11
- Infinite non-Abelian group
- Element aba has infinite order
- Inverses of generators:
- Reduction order:
- Left-to-right recursive path with deg(b) = 0; deg(a) = 1
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaabb=1,bbbbbb=1 b/a - -
bbbbbb=1
bba=abb
aaa=bbbb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 13664 | ⟨a, b | aabba=1, bbbbbb=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 13765 | ⟨a, b | abbba=1, aaaaaa=1⟩ | φ(a) = b, φ(b) = a |