#2973 ⟨a, b | aaabbabbaaa=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 = d2a4
- b-1 = bcda
- c-1 = d2
- d-1 = cd
- Reduction order:
- Left-to-right recursive path with deg(c) = deg(d) = deg(a) = 0, c < d < a; deg(b) = 1
- Auxiliary generators:
- aaaaa=c
- abb=d
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aaabbabbaaa=1 cda/b aaaaa=c,abb=d morph:5/0,3/0
dc=cd
ac=ca
cdd=1
add=dda
aaaaa=c
ab=dbcda
aaaadb=cbddaaaad
bb=ddaaaad
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3226 | ⟨a, b | abaabbbbbba=1⟩ | φ(a) = b, φ(b) = a |