#2849 ⟨a, b | aaaabaababa=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 = a3c2b
- b-1 = ca3ca
- c-1 = a3cab
- Reduction order:
- Right-to-left recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
- Auxiliary generators:
- aba=c
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aaaabaababa=1 reversed:ac/b aba=c morph:3/0
aaaacc=caaaca
caaacc=a
aaaacab=caaac
caaacab=1
ba=aaaccaaccccb
bc=aaccccb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 2916 | ⟨a, b | aaabaababaa=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 3052 | ⟨a, b | aababaaaaab=1⟩ | φ(a) = a, φ(b) = b |