#3215 ⟨a, b | abaabbaabab=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 = c3d
- b-1 = a2dcdc2
- c-1 = adc2
- d-1 = ac3
- Reduction order:
- Left-to-right recursive path with deg(c) = deg(d) = 0, c < d; deg(b) = 1; deg(a) = 2
- Auxiliary generators:
- baab=c
- cac=d
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:abaabbaabab=1 cd/b/a baab=c,cac=d morph:4/0,3/0
dccc=cccd
dccd=c
b=cccdcd
acccc=ccd
acccd=1
ca=addcc
da=ad
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3236 | ⟨a, b | ababaabbaab=1⟩ | φ(a) = a, φ(b) = cccdcd |
| 11 | 3241 | ⟨a, b | abababaabba=1⟩ | φ(a) = a, φ(b) = cccdcd |