#877 ⟨a, b | aaaaaba=bb⟩

Up:Monoid enumeration
Prev:#876 ⟨a, b | aaaaaba=ba⟩
Next:#878 ⟨a, b | aaaaabb=aa⟩

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. a5ba ⇒ b2 [1]
2. b2a4ba ⇒ a5b3 [2]
# ab:aaaaaba=bb ab - -
aaaaaba=bb
bbaaaaba=aaaaabbb

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
102110⟨a, b | aaaaaba=bab⟩Can Inf
114924⟨a, b | aaaaaba=baab⟩Can Inf

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationProperties
9744⟨a, b | aaaaabba=b⟩Can Inf
101568⟨a, b | aaaaababa=b⟩Can Inf
113342⟨a, b | aaaaabaaba=b⟩Can Inf