#2964 ⟨a, b | aaabbaabbaa=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 = a2d2
- b-1 = a2dcb
- c-1 = d2
- d-1 = dc
- Reduction order:
- Left-to-right recursive path with deg(d) = deg(c) = 0, d < c; deg(a) = deg(b) = 1, a < b
- Auxiliary generators:
- aaa=c
- bbaa=d
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aaabbaabbaa=1 dc/ab aaa=c,bbaa=d morph:3/0,4/0
cd=dc
ddc=1
ca=ac
dda=add
bda=daddbc
bb=dadd
aaa=c
baa=aadcbd
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3270 | ⟨a, b | abbaaaaabba=1⟩ | φ(a) = a, φ(b) = b |