#9478 ⟨a, b | aa=1, abbbabbb=1⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 10
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = a
- b-1 = b2c
- c-1 = b3
- Auxiliary generators:
- c = abbba
- Reduction order:
- Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aa=1,abbbabbb=1 bc/a abbba=c morph:5/0
cb=bc
bbbc=1
ca=abbb
bbba=ac
aa=1
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 9507 | ⟨a, b | aa=1, babbbabb=1⟩ | φ(a) = a, φ(b) = b |
| 10 | 9796 | ⟨a, b | aa=1, bbbabbb=a⟩ | φ(a) = a, φ(b) = b |