#4602 ⟨a, b | aabaaaba=bab⟩

Up:Monoid enumeration
Prev:#4601 ⟨a, b | aabaaaba=baa⟩
Next:#4603 ⟨a, b | aabaaaba=bba⟩

Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same 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. a(ab)3 ⇒ b(aba)2 [2]
2. (a2ba)2 ⇒ bab [1]
3. a2ba3b2ab ⇒ (ba)3a2ba [3]
# ab:aabaaaba=bab ba - -
aababab=babaaba
aabaaaba=bab
aabaaabbab=bababaaaba

Other submonoids of same group

2 unique, 8 total

Σ#PresentationPropertiesφ
9932⟨a, b | aabaaba=bb⟩Can Inf
101431⟨a, b | aababbabba=1⟩Grp Inf6