#337 ⟨a, b | abbabaab=1⟩
Properties
- Presentation has sum-of-sides 8
- Infinite non-Abelian group
- Group inverses:
- a-1 = db
- b-1 = ad
- c-1 = d
- d-1 = c
Complete rewriting system
- Reduction order:
- Left-to-right recursive path with deg(d) = deg(c) = 0, d < c; deg(a) = deg(b) = 1, a < b
- Auxiliary generator: ba=c
- Auxiliary generator: bcca=d
- dc ⇒ 1
- cd ⇒ 1
- ca ⇒ dad2
- d2a ⇒ ac2
- cb ⇒ dbd2
- d2b ⇒ bc2
- adb ⇒ 1
- ba ⇒ c
# ab:abbabaab=1 dc/ab ba=c,bcca=d frequency:2/0,4/4
dc=1
cd=1
ca=dadd
dda=acc
cb=dbdd
ddb=bcc
adb=1
ba=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
