#5433 ⟨a, b | aaaaaa=babab⟩

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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. a7b ⇒ ba7 [2]
2. b(ab)2 ⇒ a6 [1]
# ab:aaaaaa=babab a/b - -
aaaaaaab=baaaaaaa
babab=aaaaaa

Other submonoids of same group

2 unique, 5 total

Σ#PresentationPropertiesφ
101289⟨a, b | aaaaaabbba=1⟩Grp Inf3
102096⟨a, b | aaaaaaa=bbb⟩Can Inf