#331 ⟨a, b | abababba=1⟩
Properties
- Presentation has sum-of-sides 8
- Infinite non-Abelian group
- Group inverses:
- a-1 = bc2d
- b-1 = ac3
- c-1 = c2d
- d-1 = c3
Complete rewriting system
- Reduction order:
- Left-to-right recursive path with deg(c) = deg(d) = 0, c < d; deg(b) = deg(a) = 1, b < a
- Auxiliary generator: ab=c
- Auxiliary generator: ba=d
- dc ⇒ cd
- c3d ⇒ 1
- db ⇒ bc
- c3b ⇒ bc2d
- ca ⇒ ad
- da ⇒ ac9
- ba ⇒ d
- ab ⇒ c
# ab:abababba=1 cd/ba ab=c,ba=d frequency:2/0,2/2
dc=cd
cccd=1
db=bc
cccb=bccd
ca=ad
da=accccccccc
ba=d
ab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
