#1991 ⟨a, b | aabbaabb=ba⟩
Properties
- Presentation has sum-of-sides 10
- Infinite non-commutative monoid
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: ab=d
- ca ⇒ a(dc)2
- da ⇒ ac
- cb ⇒ bd
- (cd)2b ⇒ bc
- ab ⇒ d
- adcdb ⇒ c
- ba ⇒ c
# ab:aabbaabb=ba cd/ab ba=c,ab=d frequency:2/0,2/1
ca=adcdc
da=ac
cb=bd
cdcdb=bc
ab=d
adcdb=c
ba=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
