#811 ⟨a, b | aababbba=b⟩

Up:Monoid enumeration
Prev:#810 ⟨a, b | aababbba=a⟩
Next:#812 ⟨a, b | aabbaaab=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. a2bab4 ⇒ (ba)2b3a [2]
2. a2bab3a ⇒ b [1]
# ab:aababbba=b ba - -
aababbbb=bababbba
aababbba=b

Other submonoids of same group

3 unique, 9 total

Σ#PresentationPropertiesφ
9947⟨a, b | aababba=bb⟩Can Inf
112918⟨a, b | aaabaababba=1⟩Grp Inf6
113786⟨a, b | ababbabbba=b⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
102508⟨a, b | aababa=bbab⟩Can Inf