#26090 ⟨a, b | aa=1, abbabbabb=1⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 11
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = a
- b-1 = abc2
- c-1 = c2
- Auxiliary generators:
- c = bab
- Reduction order:
- Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aa=1,abbabbabb=1 ac/b bab=c morph:3/0
aa=1
ccc=1
cab=bac
ccb=abcca
bab=c
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 26157 | ⟨a, b | aa=1, babbabbab=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 26702 | ⟨a, b | aa=1, bbabbabb=a⟩ | φ(a) = a, φ(b) = b |