#1176 ⟨a, b | aaaba=babb⟩

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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. a3ba ⇒ bab2 [1]
2. a2(ab2)2 ⇒ bab2a2ba [2]
# ab:aaaba=babb ba - -
aaaba=babb
aaabbabb=babbaaba

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
115900⟨a, b | ababba=babbb⟩Can Inf

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationProperties
9780⟨a, b | aaabbaba=b⟩Can Inf
101722⟨a, b | aabbababa=b⟩Can Inf
113458⟨a, b | aaababaaba=b⟩Can Inf