#1236 ⟨a, b | aabba=bbab⟩

Up:Monoid enumeration
Prev:#1235 ⟨a, b | aabba=bbaa⟩
Next:#1237 ⟨a, b | aabba=bbba⟩

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. a2b2a ⇒ b2ab [1]
2. a2b4ab ⇒ b(ba)2b2a [2]
# ab:aabba=bbab ba - -
aabba=bbab
aabbbbab=bbababba

Other submonoids of same group

3 unique, 3 total

Σ#PresentationProperties
9800⟨a, b | aabaabba=b⟩Can Inf
113548⟨a, b | aabaaababa=b⟩Can Inf
115378⟨a, b | ababbba=bbab⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
101770⟨a, b | abaababba=b⟩Can Inf
102250⟨a, b | aababba=bab⟩Can Inf