#1024 ⟨a, b | aaaaba=bbb⟩

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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. a4ba ⇒ b3 [1]
2. b3a3ba ⇒ a4b4 [2]
# ab:aaaaba=bbb ab
aaaaba=bbb
bbbaaaba=aaaabbbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115490⟨a, b | aaaaba=babab⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
9760⟨a, b | aaaabbba=b⟩Infinite cancellative non-commutative monoid
113387⟨a, b | aaaabababa=b⟩Infinite cancellative non-commutative monoid