#3993 ⟨a, b | aaabababa=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. a3(ba)3 ⇒ b2 [1]
2. b2a2(ba)3 ⇒ a2(ab)3b2 [2]
# ab:aaabababa=bb ab - -
aaabababa=bb
bbaabababa=aaabababbb

Other submonoids of same group

2 unique, 8 total

Σ#PresentationPropertiesφ
102174⟨a, b | aaababa=bbb⟩Can Inf
112940⟨a, b | aaabababbba=1⟩Grp Inf6