#1722 ⟨a, b | aabbababa=b⟩

Up:Monoid enumeration
Prev:#1721 ⟨a, b | aabbababa=a⟩
Next:#1723 ⟨a, b | aabbabbaa=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(ba)2b2 ⇒ bab(ba)3 [2]
2. a2b(ba)3 ⇒ b [1]
# ab:aabbababa=b ba - -
aabbababb=babbababa
aabbababa=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
91176⟨a, b | aaaba=babb⟩Can Inf
115900⟨a, b | ababba=babbb⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
9780⟨a, b | aaabbaba=b⟩Can Inf
113458⟨a, b | aaababaaba=b⟩Can Inf