#4866 ⟨a, b | abbaabba=bbb⟩

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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. b(b2a)2 ⇒ ab2ab3 [2]
2. (ab2a)2 ⇒ b3 [1]
3. b5a2b2a ⇒ ab2a2b5 [3]
# ab:abbaabba=bbb ab - -
bbbabba=abbabbb
abbaabba=bbb
bbbbbaabba=abbaabbbbb

Other submonoids of same group

1 unique, 5 total

Σ#PresentationPropertiesφ
112875⟨a, b | aaaabbaabba=1⟩Grp Inf4