#2735 ⟨a, b | baaaa=aabab⟩

Up:Monoid enumeration
Prev:#2734 ⟨a, b | baaaa=aaabb⟩
Next:#2736 ⟨a, b | baaaa=aabbb⟩

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. ba4 ⇒ a(ab)2 [1]
# ab:baaaa=aabab ab - -
baaaa=aabab

Other submonoids of same group

3 unique, 3 total

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

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
91161⟨a, b | aaaab=bbaa⟩Can Inf
115661⟨a, b | aabaab=baaaa⟩Can Inf