#14519 ⟨a, b | aaab=b, babbb=a⟩

Up:Monoids with two generators and two relations
Prev:#14518 ⟨a, b | aaab=b, babba=b⟩
Next:#14520 ⟨a, b | aaab=b, babbb=b⟩

Properties

Element profile

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. b29 ⇒ b
  2. b28a ⇒ a
  3. ab ⇒ b9a
  4. a3 ⇒ b28 
# ab:aaab=b,babbb=a reversed:b/a
bbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b
bbbbbbbbbbbbbbbbbbbbbbbbbbbba=a
ab=bbbbbbbbba
aaa=bbbbbbbbbbbbbbbbbbbbbbbbbbbb

Right Cayley graph

Left Cayley graph

Other anti-isomorphic instances

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

1 total

Σ#PresentationMapping
1114531⟨a, b | aaab=b, bbbab=a⟩φ(a) = a, φ(b) = b