#780 ⟨a, b | aaabbaba=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. a2(ab2)2 ⇒ ba2b(ba)2 [2]
2. a3b(ba)2 ⇒ b [1]
# ab:aaabbaba=b ba
aaabbabb=baabbaba
aaabbaba=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
91176⟨a, b | aaaba=babb⟩Infinite cancellative non-commutative monoid
115900⟨a, b | ababba=babbb⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
101722⟨a, b | aabbababa=b⟩Infinite cancellative non-commutative monoid
113458⟨a, b | aaababaaba=b⟩Infinite cancellative non-commutative monoid