#1215 ⟨a, b | aabab=baaa⟩

Up:Monoid enumeration
Prev:#1214 ⟨a, b | aabab=abbb⟩
Next:#1216 ⟨a, b | aabab=baab⟩

Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. Other submonoids of anti-isomorphic group

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. a(ab)2 ⇒ ba3 [1]
# ab:aabab=baaa ab - -
aabab=baaa

Other submonoids of same group

6 unique, 6 total

Σ#PresentationProperties
8511⟨a, b | aaabb=baa⟩Can Inf
8582⟨a, b | baaa=aabb⟩Can Inf
91045⟨a, b | aaabab=baa⟩Can Inf
102163⟨a, b | aaabaab=baa⟩Can Inf
114487⟨a, b | aaabaaab=baa⟩Can Inf
115875⟨a, b | ababab=babaa⟩Can Inf

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationProperties
102487⟨a, b | aabaab=baaa⟩Can Inf
115125⟨a, b | aabaaab=baaa⟩Can Inf
115185⟨a, b | aababab=baba⟩Can Inf