#838 ⟨a, b | abaaabba=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. aba3b3 ⇒ b2a3b2a [2]
2. aba3b2a ⇒ b [1]
# ab:abaaabba=b ba
abaaabbb=bbaaabba
abaaabba=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
101782⟨a, b | ababaabba=b⟩Infinite cancellative non-commutative monoid
102318⟨a, b | abaabba=bab⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

4 unique, 4 total

Σ#PresentationDescriptionRelated
91100⟨a, b | aabbba=bab⟩Infinite cancellative non-commutative monoid
102758⟨a, b | baabb=ababa⟩Infinite cancellative non-commutative monoid
113708⟨a, b | abaaaababa=b⟩Infinite cancellative non-commutative monoid
114850⟨a, b | ababbbba=bab⟩Infinite cancellative non-commutative monoid