#1654 ⟨a, b | aaabbbaba=b⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. Other submonoids of anti-isomorphic group

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. a3b3ab2 ⇒ ba2b3aba [2]
2. a3b3aba ⇒ b [1]
# ab:aaabbbaba=b ba
aaabbbabb=baabbbaba
aaabbbaba=b

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114178⟨a, b | aabbababa=bb⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115700⟨a, b | aababa=babbb⟩Infinite cancellative non-commutative monoid