#5904 ⟨a, b | ababba=bbabb⟩

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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 ⇒ b2ab2 [1]
2. abab4ab2 ⇒ b(bab2)2a [2]
# ab:ababba=bbabb ba
ababba=bbabb
ababbbbabb=bbabbbabba

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
9807⟨a, b | aababbaa=b⟩Infinite cancellative non-commutative monoid
91205⟨a, b | aabaa=babb⟩Infinite cancellative non-commutative monoid
113564⟨a, b | aabaababaa=b⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101702⟨a, b | aababbaba=b⟩Infinite cancellative non-commutative monoid