#709 ⟨a, b | abaabbbba=1⟩
Quick links
- Properties
- Rewriting system
- Presentation has sum-of-sides 9
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = bcb4a
- b-1 = b2d
- c-1 = bcb4
- d-1 = b3
- Reduction order:
- Left-to-right recursive path with deg(b) = deg(d) = 0, b < d; deg(c) = deg(a) = 1, c < a
- Auxiliary generators:
- aa=c
- cbcb=d
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:abaabbbba=1 bd/ca aa=c,cbcb=d morph:2/0,4/0
db=bd
bbbd=1
dc=cd
bbbc=cbbb
cbc=bbdd
ac=ca
abc=bcbbbbabbdd
aa=c