#3957 ⟨a, b | aaabaaaab=ba⟩

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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. a(a2c)2 ⇒ ca [6]
2. (a3ca2)2b ⇒ c [4]
3. ba ⇒ a3ca2b [3]
4. bc ⇒ caca5ca2b [5]
# ab:aaabaaaab=ba reversed:ac/b baa=c morph:3/1
aaacaac=ca
aaacaaaaacaab=c
ba=aaacaab
bc=cacaaaaacaab

Other submonoids of same group

8 unique, 8 total

Σ#PresentationProperties
7210⟨a, b | aaabb=ba⟩Can Inf
8434⟨a, b | aaabab=ba⟩Can Inf
8583⟨a, b | baaa=abab⟩Can Inf
9903⟨a, b | aaabaab=ba⟩Can Inf
91120⟨a, b | ababab=baa⟩Can Inf
101883⟨a, b | aaabaaab=ba⟩Can Inf
114787⟨a, b | abaabaab=baa⟩Can Inf
115874⟨a, b | ababab=baaba⟩Can Inf

Other submonoids of anti-isomorphic group

7 unique, 7 total

Σ#PresentationProperties
7245⟨a, b | aaab=bba⟩Can Inf
9942⟨a, b | aababab=ba⟩Can Inf
91247⟨a, b | abaab=baaa⟩Can Inf
102571⟨a, b | abaaab=baaa⟩Can Inf
114086⟨a, b | aabaabaab=ba⟩Can Inf
114265⟨a, b | abaababab=ba⟩Can Inf
115289⟨a, b | abaaaab=baaa⟩Can Inf