#333 ⟨a, b | ababbaba=1⟩
Properties
- Presentation has sum-of-sides 8
- Infinite non-Abelian group
- Group inverses:
- a-1 = cbc2
- b-1 = acd
- c-1 = cd
- d-1 = c2
Complete rewriting system
- Reduction order:
- Left-to-right recursive path with deg(c) = deg(d) = 0, c < d; deg(a) = deg(b) = 1, a < b
- Auxiliary generator: ba=c
- Auxiliary generator: acb=d
- dc ⇒ cd
- c2d ⇒ 1
- da ⇒ ac2
- c2a ⇒ ad
- db ⇒ bc2
- c2b ⇒ bd
- acb ⇒ d
- ba ⇒ c
# ab:ababbaba=1 cd/ab ba=c,acb=d frequency:2/0,3/1
dc=cd
ccd=1
da=acc
cca=ad
db=bcc
ccb=bd
acb=d
ba=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
