#4648 ⟨a, b | aabababa=bab⟩

Up:Monoid enumeration
Prev:#4647 ⟨a, b | aabababa=baa⟩
Next:#4649 ⟨a, b | aabababa=bba⟩

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. a2(ba)3 ⇒ bab [1]
2. a(ab)3bab ⇒ (ba)5 [2]
# ab:aabababa=bab ba - -
aabababa=bab
aabababbab=bababababa

Other submonoids of same group

5 unique, 19 total

Σ#PresentationPropertiesφ
8536⟨a, b | aabba=bbb⟩Can Inf
9992⟨a, b | ababbba=bb⟩Can Inf
101312⟨a, b | aaaabaabba=1⟩Grp Inf14
101812⟨a, b | abbabbbba=b⟩Can Inf
115698⟨a, b | aababa=babab⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
8464⟨a, b | aabbba=bb⟩Can Inf
9856⟨a, b | ababbbba=b⟩Can Inf