#1645 ⟨a, b | aab=ba, bbb=b⟩

Up:Monoids with two generators and two relations
Prev:#1642 ⟨a, b | aab=ba, bba=a⟩
Next:#1646 ⟨a, b | aab=bb, aba=a⟩

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. a8b ⇒ a2b [3]
2. ba ⇒ a2b [1]
3. b3 ⇒ b [2]
# ab:aab=ba,bbb=b reversed:a/b
aaaaaaaab=aab
ba=aab
bbb=b

Isomorphic instances

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

1 total

Σ#PresentationMapping
1119788⟨a, b | aaa=a, aaab=bba⟩φ(a) = b, φ(b) = a