#1015 ⟨a, b | aaaaab=bba⟩

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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. a5b ⇒ b2a [1]
# ab:aaaaab=bba ab
aaaaab=bba

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
9880⟨a, b | aaaaabb=ba⟩Infinite cancellative non-commutative monoid
101840⟨a, b | aaaaabab=ba⟩Infinite cancellative non-commutative monoid
113870⟨a, b | aaaaabaab=ba⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
102383⟨a, b | aaaaab=baba⟩Infinite cancellative non-commutative monoid
115455⟨a, b | aaaaab=baaba⟩Infinite cancellative non-commutative monoid