#8632 ⟨a, b | aa=a, babbbb=a⟩

Up:Monoids with two generators and two relations
Prev:#8631 ⟨a, b | aa=a, babbab=b⟩
Next:#8633 ⟨a, b | aa=a, babbbb=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. ab20 ⇒ a
  2. ba ⇒ ab16
  3. a2 ⇒ a 
# ab:aa=a,babbbb=a b/a
abbbbbbbbbbbbbbbbbbbb=a
ba=abbbbbbbbbbbbbbbb
aa=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

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

2 total

Σ#PresentationMapping
1124162⟨a, b | aa=a, baabbbb=a⟩φ(a) = a, φ(b) = b
1124710⟨a, b | aa=a, babbbb=aa⟩φ(a) = a, φ(b) = b