#1161 ⟨a, b | aaaab=bbaa⟩

Up:Monoid enumeration
Prev:#1160 ⟨a, b | aaaab=babb⟩
Next:#1162 ⟨a, b | aaaab=bbab⟩

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. a4b ⇒ b2a2 [1]
# ab:aaaab=bbaa ab - -
aaaab=bbaa

Other submonoids of same group

4 unique, 4 total

Σ#PresentationProperties
91029⟨a, b | aaaabb=baa⟩Can Inf
102133⟨a, b | aaaabab=baa⟩Can Inf
102735⟨a, b | baaaa=aabab⟩Can Inf
114435⟨a, b | aaaabaab=baa⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
115661⟨a, b | aabaab=baaaa⟩Can Inf