#860 ⟨a, b | abbaabba=b⟩
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- Properties
- Rewriting system
- Other submonoids of same group
- Isomorphic instances
- Presentation has sum-of-sides 9
- Infinite cancellative non-commutative monoid
- Submonoid of enveloping group: ⟨a, b | aaabbaabb⟩
- Embedding: φ(a) = aba, φ(b) = a-1
- Auxiliary generators:
- c = bba
- 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:abbaabba=b ac/b bba=c morph:3/0
cca=acc
acacacaca=c
b=acac
2 unique, 14 total
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 1786 | ⟨a, b | ababababa=b⟩ | φ(a) = a, φ(b) = c |