#9755 ⟨a, b | aa=1, abbbbab=b⟩

Up:Monoids with two generators and two relations
Prev:#9749 ⟨a, b | aa=1, abbabbb=b⟩
Next:#9757 ⟨a, b | aa=1, abbbbba=b⟩

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. a2 ⇒ 1
  2. b5 ⇒ b
  3. b4ab ⇒ ab 
# ab:aa=1,abbbbab=b ab
aa=1
bbbbb=b
bbbbab=ab

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
1010052⟨a, b | aa=1, babbbb=ba⟩φ(a) = a, φ(b) = b