#683 ⟨a, b | aabbabbaa=1⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 9
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = a2c2
- b-1 = acdb
- c-1 = cd
- d-1 = c2
- Reduction order:
- Left-to-right recursive path with deg(c) = deg(d) = 0, c < d; deg(a) = deg(b) = 1, a < b
- Auxiliary generators:
- bba=c
- aaa=d
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aabbabbaa=1 cd/ab bba=c,aaa=d morph:3/0,3/0
dc=cd
ccd=1
da=ad
cca=acc
ba=acdbc
bb=caacc
aaa=d
bcaa=caaccbd
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 9 | 690 | ⟨a, b | aabbbbaab=1⟩ | φ(a) = b, φ(b) = a |