#4830 ⟨a, b | abababba=bbb⟩

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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. (ab)3ba ⇒ b3 [1]
2. b4abab2a ⇒ (ab)3b4 [2]
# ab:abababba=bbb ab - -
abababba=bbb
bbbbababba=abababbbbb

Other submonoids of same group

2 unique, 8 total

Σ#PresentationPropertiesφ
91180⟨a, b | aaaba=bbbb⟩Can Inf
112861⟨a, b | aaaabababba=1⟩Grp Inf6

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
9788⟨a, b | aaabbbba=b⟩Can Inf