〈a, b | aab=ab, aba=ab〉

Monoid presentation of length 10

Properties

Infinite non-commutative monoid

Completion parameters

Reduction order: left-to-right cba
Auxiliary generator abb=c

Complete rewriting system

ca ⇒ c
ac ⇒ c
cbc ⇒ c²b
cb² ⇒ c²
cba ⇒ cb
abc ⇒ cb
ab² ⇒ c
aba ⇒ ab
a²b ⇒ ab

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

3 total

Length:	Presentation:
11	〈a, b \| aab=ab, aaba=ab〉
11	〈a, b \| aba=ab, aaba=ab〉
11	〈a, b \| aab=ab, aba=aab〉