#3678 ⟨a, b | aabbbabbba=b⟩

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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. a2b3ab4 ⇒ ba(b3a)2 [2]
2. a2(b3a)2 ⇒ b [1]
# ab:aabbbabbba=b ba - -
aabbbabbbb=babbbabbba
aabbbabbba=b

Other submonoids of same group

1 unique, 8 total

Σ#PresentationPropertiesφ
112912⟨a, b | aaabaaabbba=1⟩Grp Inf7