#17654 ⟨a, b | aaaa=1, ababb=ab⟩

Up:Monoids with two generators and two relations
Prev:#17652 ⟨a, b | aaaa=1, ababa=bb⟩
Next:#17656 ⟨a, b | aaaa=1, ababb=bb⟩

Properties

Complete rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
  1. a4 ⇒ 1
  2. bab2 ⇒ b 
# ab:aaaa=1,ababb=ab ab
aaaa=1
babb=b

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1117658⟨a, b | aaaa=1, abbab=ab⟩φ(a) = a, φ(b) = b