#4852 ⟨a, b | ababbbba=bbb⟩

Up:Monoid enumeration
Prev:#4851 ⟨a, b | ababbbba=bba⟩
Next:#4853 ⟨a, b | abbaaaab=aaa⟩

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. abab4a ⇒ b3 [1]
2. abab7 ⇒ (b4a)2 [2]
# ab:ababbbba=bbb ba - -
ababbbba=bbb
ababbbbbbb=bbbbabbbba

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
102562⟨a, b | aabbba=bbbb⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
102290⟨a, b | aabbbba=bbb⟩Can Inf
114324⟨a, b | ababbbbba=bb⟩Can Inf