#2372 ⟨a, b | aaaaaa=bbbb⟩

Up:Monoids with two generators and one relation
Prev:#2371 ⟨a, b | aaaaaa=babb⟩
Next:#2373 ⟨a, b | aaaaab=aaaa⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

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. b4a ⇒ ab4 [2]
2. a6 ⇒ b4 [1]
# ab:aaaaaa=bbbb ab
bbbba=abbbb
aaaaaa=bbbb

Other submonoids of same group

1 unique, 5 total

Σ#PresentationDescriptionRelated
101305⟨a, b | aaaaabbbba=1⟩Infinite non-Abelian group4 iso