#3564 ⟨a, b | aabaababaa=b⟩

Up:Monoid enumeration
Prev:#3563 ⟨a, b | aabaababaa=a⟩
Next:#3565 ⟨a, b | aabaababab=a⟩

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. (a2b)2ab2 ⇒ b2a(ab)2a2 [2]
2. a2ba(ab)3 ⇒ (baba2)2 [3]
3. (a2b)2aba2 ⇒ b [1]
# ab:aabaababaa=b ba - -
aabaababb=bbaababaa
aabaababab=babaababaa
aabaababaa=b

Other submonoids of same group

3 unique, 3 total

Σ#PresentationProperties
9807⟨a, b | aababbaa=b⟩Can Inf
91205⟨a, b | aabaa=babb⟩Can Inf
115904⟨a, b | ababba=bbabb⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
101702⟨a, b | aababbaba=b⟩Can Inf