#1572 ⟨a, b | aaaaabbaa=b⟩

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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. a5b3 ⇒ ba3b2a2 [2]
2. a5b2ab ⇒ ba4b2a2 [3]
3. a5b2a2 ⇒ b [1]
# ab:aaaaabbaa=b ba
aaaaabbb=baaabbaa
aaaaabbab=baaaabbaa
aaaaabbaa=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
101837⟨a, b | aaaaabaa=bb⟩Infinite cancellative non-commutative monoid
114396⟨a, b | aaaaabaa=bab⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113346⟨a, b | aaaaababaa=b⟩Infinite cancellative non-commutative monoid