#1253 ⟨a, b | abaab=bbba⟩

Up:Monoid enumeration
Prev:#1252 ⟨a, b | abaab=bbab⟩
Next:#1254 ⟨a, b | abaab=bbbb⟩

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. b3a ⇒ aba2b [1]
# ab:abaab=bbba a/b - -
bbba=abaab

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
9919⟨a, b | aaabbab=ba⟩Can Inf
113988⟨a, b | aaababaab=ba⟩Can Inf

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationProperties
114184⟨a, b | aabbabbab=ba⟩Can Inf
114789⟨a, b | abaabaab=bba⟩Can Inf
115347⟨a, b | ababaab=baaa⟩Can Inf