〈a, b | baa=aab, abab=1〉

Monoid presentation of length 10

Properties

Infinite non-Abelian group

Completion parameters

Reduction order: left-to-right ac/b
Auxiliary generator bab=c

Inverses of generators

a^-1 = c
b^-1 = aba
c^-1 = a

Complete rewriting system

ac ⇒ 1
ca ⇒ 1
cb ⇒ abc²
a²b ⇒ ba²
bab ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

1 total

Length:	Presentation:
10	〈a, b \| abab=1, abbba=b〉