#5900 ⟨a, b | ababba=babbb⟩

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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. abab2a ⇒ bab3 [1]
2. ab(ab3)2 ⇒ bab4ab2a [2]
# ab:ababba=babbb ba
ababba=babbb
ababbbabbb=babbbbabba

Other submonoids of same group

1 unique, 1 total

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

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationDescriptionRelated
9780⟨a, b | aaabbaba=b⟩Infinite cancellative non-commutative monoid
101722⟨a, b | aabbababa=b⟩Infinite cancellative non-commutative monoid
113458⟨a, b | aaababaaba=b⟩Infinite cancellative non-commutative monoid