〈a, b | aa=a, bbb=aba〉

Monoid presentation of length 9

Properties

Infinite non-commutative monoid

Completion parameters

Reduction order: left-to-right ba

Complete rewriting system

a² ⇒ a
aba ⇒ b³
b³a ⇒ b³
ab³ ⇒ b³
b⁶ ⇒ b⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

3 total

Length:	Presentation:
10	〈a, b \| aa=a, aaba=bbb〉
11	〈a, b \| aa=a, aaaba=bbb〉
11	〈a, b \| aa=a, aabaa=bbb〉