#3636 ⟨a, b | aabbaababa=b⟩

Up:Monoid enumeration
Prev:#3635 ⟨a, b | aabbaababa=a⟩
Next:#3638 ⟨a, b | aabbaabbaa=b⟩

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. a2b2a2bab2 ⇒ bab2a2(ba)2 [2]
2. a2b2a2(ba)2 ⇒ b [1]
# ab:aabbaababa=b ba - -
aabbaababb=babbaababa
aabbaababa=b

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
115334⟨a, b | abaabba=babb⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
113724⟨a, b | abaaabbaba=b⟩Can Inf