#5706 ⟨a, b | aababa=bbbab⟩

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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. a2(ba)2 ⇒ b3ab [1]
2. b2(ba)4 ⇒ a2bab4ab [2]
# ab:aababa=bbbab ab
aababa=bbbab
bbbabababa=aababbbbab

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101636⟨a, b | aaababbba=b⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114130⟨a, b | aabababba=bb⟩Infinite cancellative non-commutative monoid