〈a, b | aa=1, ababbaba=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 = a
b^-1 = abc
c^-1 = c

Complete rewriting system

a² ⇒ 1
c² ⇒ 1
cb ⇒ abca
cab ⇒ bac
bab ⇒ c

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

1 total

Length:	Presentation:
10	〈a, b \| aa=1, ababbab=a〉