#908 ⟨a, b | aaababa=bb⟩

Up:Monoid enumeration
Prev:#907 ⟨a, b | aaababa=ba⟩
Next:#909 ⟨a, b | aaababb=aa⟩

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. a3(ba)2 ⇒ b2 [1]
2. b2a2(ba)2 ⇒ a3bab3 [2]
# ab:aaababa=bb ab - -
aaababa=bb
bbaababa=aaababbb

Other submonoids of same group

2 unique, 4 total

Σ#PresentationPropertiesφ
101425⟨a, b | aabababbba=1⟩Grp Inf2
114496⟨a, b | aaabaaba=bab⟩Can Inf