#2596 ⟨a, b | ababab=baaa⟩

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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. ba3 ⇒ (ab)3 [1]
# ab:ababab=baaa b/a
baaa=ababab

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
8442⟨a, b | aaabbb=ba⟩Infinite cancellative non-commutative monoid
8584⟨a, b | baaa=abbb⟩Infinite cancellative non-commutative monoid
101899⟨a, b | aaababab=ba⟩Infinite cancellative non-commutative monoid