#2541 ⟨a, b | aabbab=baba⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same 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. a2b2ab ⇒ (ba)2 [1]
# ab:aabbab=baba ab
aabbab=baba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
91251⟨a, b | abaab=bbaa⟩Infinite cancellative non-commutative monoid
115829⟨a, b | abaaab=babaa⟩Infinite cancellative non-commutative monoid