#2881 ⟨a, b | aaaabbabbaa=1⟩
Quick links
- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 11
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = a4c2
- b-1 = acdb
- c-1 = cd
- d-1 = c2
- Reduction order:
- Right-to-left recursive path with deg(d) = deg(c) = deg(a) = 0, d < c < a; deg(b) = 1
- Auxiliary generators:
- bba=c
- aaaaa=d
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aaaabbabbaa=1 reversed:dca/b bba=c,aaaaa=d morph:3/0,5/0
dc=cd
da=ad
ccd=1
cca=acc
aaaaa=d
ba=acdbc
bcaaaa=caaaaccbd
bb=caaaacc
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3164 | ⟨a, b | aabbbbbbaab=1⟩ | φ(a) = b, φ(b) = a |