#4184 ⟨a, b | aabbabbab=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. a2(b2a)2b ⇒ ba [1]
# ab:aabbabbab=ba ab - -
aabbabbab=ba

Other submonoids of same group

3 unique, 3 total

Σ#PresentationProperties
9919⟨a, b | aaabbab=ba⟩Can Inf
91253⟨a, b | abaab=bbba⟩Can Inf
113988⟨a, b | aaababaab=ba⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
114789⟨a, b | abaabaab=bba⟩Can Inf
115347⟨a, b | ababaab=baaa⟩Can Inf