#2783 ⟨a, b | aaaaaaaabba=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 = a8d
- b-1 = bc
- c-1 = d
- d-1 = c
- Reduction order:
- Left-to-right shortlex with a < b < c < d
- Auxiliary generators:
- aaaaaaaaa=c
- bb=d
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaaaaaaabba=1 abcd aaaaaaaaa=c,bb=d magic:0
bb=d
ca=ac
cb=bc
cd=1
da=ad
db=bd
dc=1
aaaaaaaaa=c
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
3 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 2789 | ⟨a, b | aaaaaaabbaa=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 2801 | ⟨a, b | aaaaaabbaaa=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 2825 | ⟨a, b | aaaaabbaaaa=1⟩ | φ(a) = a, φ(b) = b |