#415 ⟨a, b | aaaaaa=bb⟩

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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. b2a ⇒ ab2 [2]
2. a6 ⇒ b2 [1]
# ab:aaaaaa=bb ab - -
bba=abb
aaaaaa=bb

Other submonoids of same group

6 unique, 13 total

Σ#PresentationPropertiesφ
8275⟨a, b | aaaaabba=1⟩Grp Inf7
8412⟨a, b | abbbbba=b⟩Can Inf
8484⟨a, b | abbbba=bb⟩Can Inf
8489⟨a, b | aaaaa=bab⟩Can Inf
8556⟨a, b | abbba=bbb⟩Can Inf
8585⟨a, b | baab=aaaa⟩Can Inf