#1829 ⟨a, b | aaaaaaba=bb⟩

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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. a6ba ⇒ b2 [1]
2. b2a5ba ⇒ a6b3 [2]
# ab:aaaaaaba=bb ab
aaaaaaba=bb
bbaaaaaba=aaaaaabbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114380⟨a, b | aaaaaaba=bab⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
101560⟨a, b | aaaaaabba=b⟩Infinite cancellative non-commutative monoid
113326⟨a, b | aaaaaababa=b⟩Infinite cancellative non-commutative monoid