#2734 ⟨a, b | baaaa=aaabb⟩

Up:Monoids with two generators and one relation
Prev:#2733 ⟨a, b | baaaa=aaaab⟩
Next:#2735 ⟨a, b | baaaa=aabab⟩

Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. Other submonoids of anti-isomorphic 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. ba4 ⇒ a3b2 [1]
# ab:baaaa=aaabb ab
baaaa=aaabb

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
102413⟨a, b | aaaabb=baaa⟩Infinite cancellative non-commutative monoid
114971⟨a, b | aaaabab=baaa⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115581⟨a, b | aaabab=baaaa⟩Infinite cancellative non-commutative monoid