〈a, b | aaa=ab, bbaa=a〉

Monoid presentation of length 10

Properties

Infinite non-commutative monoid

Completion parameters

Reduction order: left-to-right a/b

Complete rewriting system

a⁶ ⇒ a
ab ⇒ a³
b²a ⇒ a⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

4 total

Length:	Presentation:
11	〈a, b \| aaba=bb, aabb=b〉
11	〈a, b \| aaba=bb, baab=b〉
11	〈a, b \| aaba=bb, baba=b〉
11	〈a, b \| aaba=bb, bbaa=b〉

Other anti-isomorphic instances

1 total

Length:	Presentation:
11	〈a, b \| aabb=a, baaaa=a〉