#258 ⟨a, b | aabb=baa⟩

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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. a2b2 ⇒ ba2 [1]
# ab:aabb=baa ab
aabb=baa

Other submonoids of same group

7 unique, 7 total

Σ#PresentationDescriptionRelated
8525⟨a, b | aabab=baa⟩Infinite cancellative non-commutative monoid
91065⟨a, b | aabaab=baa⟩Infinite cancellative non-commutative monoid
91217⟨a, b | aabab=baba⟩Infinite cancellative non-commutative monoid
102211⟨a, b | aabaaab=baa⟩Infinite cancellative non-commutative monoid
114593⟨a, b | aabaaaab=baa⟩Infinite cancellative non-commutative monoid
115317⟨a, b | abaabab=baba⟩Infinite cancellative non-commutative monoid
115663⟨a, b | aabaab=baaba⟩Infinite cancellative non-commutative monoid