#1008 ⟨a, b | aaaaaa=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. b3a ⇒ ab3 [2]
2. a6 ⇒ b3 [1]
# ab:aaaaaa=bbb ab - -
bbba=abbb
aaaaaa=bbb

Other submonoids of same group

3 unique, 6 total

Σ#PresentationPropertiesφ
9609⟨a, b | aaaaabbba=1⟩Grp Inf3
102764⟨a, b | babab=aaaaa⟩Can Inf
115406⟨a, b | abbabba=bbbb⟩Can Inf