#1441 ⟨a, b | aabbaaabba=1⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 10
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = a2b2cb2
- b-1 = bcb2c
- c-1 = b2cb2
- d-1 = c
- Reduced group presentation: ⟨a, b | aaabbaaabb⟩
- Isomorphism: φ(a) = a, φ(b) = b
- Auxiliary generators:
- c = aaa
- d = bbaaabb
- Reduction order:
- Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = deg(d) = 1, a < d
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aabbaaabba=1 bc/ad aaa=c,bbaaabb=d magic:0
cbbcb=bcbbc
bbcbbc=1
ca=ac
bbcbba=abbcbb
d=bbcbb
aaa=c
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 1542 | ⟨a, b | abbbaabbba=1⟩ | φ(a) = b, φ(b) = a |