#5704 ⟨a, b | aababa=bbabb⟩

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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 ⇒ b2ab2 [1]
2. b2ab(ba)3 ⇒ a2(bab2)2 [2]
# ab:aababa=bbabb ab
aababa=bbabb
bbabbababa=aababbbabb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114138⟨a, b | aababbaba=bb⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101704⟨a, b | aababbbaa=b⟩Infinite cancellative non-commutative monoid