#827 ⟨a, b | aa=a, bbbbb=1⟩

Up:Monoids with two generators and two relations
Prev:#767 ⟨a, b | aab=1, abab=b⟩
Next:#879 ⟨a, b | ab=a, bbbbb=1⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

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
#RuleProof
1. a2 ⇒ a [1]
2. b5 ⇒ 1 [2]
# ab:aa=a,bbbbb=1 ab
aa=a
bbbbb=1

Isomorphic instances

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

1 total

Σ#PresentationMapping
104885⟨a, b | aab=ab, bbbbb=1⟩φ(a) = a, φ(b) = b