#27693 ⟨a, b | aa=1, abbbbb=bab⟩

Up:Monoids with two generators and two relations
Prev:#27687 ⟨a, b | aa=1, abbbba=bbb⟩
Next:#27695 ⟨a, b | aa=1, abbbbb=bbb⟩

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. b21 ⇒ b6
  2. bab ⇒ ab5
  3. a2 ⇒ 1 
# ab:aa=1,abbbbb=bab b/a
bbbbbbbbbbbbbbbbbbbbb=bbbbbb
bab=abbbbb
aa=1

Right Cayley graph

Left Cayley graph

Other isomorphic instances

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

1 total

Σ#PresentationMapping
1128290⟨a, b | aa=1, bbbbb=abab⟩φ(a) = a, φ(b) = b