#2596 ⟨a, b | ababab=baaa⟩

Up:Monoid enumeration
Prev:#2595 ⟨a, b | ababab=abba⟩
Next:#2597 ⟨a, b | ababab=baba⟩

Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same 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. ba3 ⇒ (ab)3 [1]
# ab:ababab=baaa b/a - -
baaa=ababab

Other submonoids of same group

3 unique, 3 total

Σ#PresentationProperties
8442⟨a, b | aaabbb=ba⟩Can Inf
8584⟨a, b | baaa=abbb⟩Can Inf
101899⟨a, b | aaababab=ba⟩Can Inf