#1215 ⟨a, b | aabab=baaa⟩

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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. a(ab)2 ⇒ ba3 [1]
# ab:aabab=baaa ab
aabab=baaa

Other submonoids of same group

6 unique, 6 total

Σ#PresentationDescriptionRelated
8511⟨a, b | aaabb=baa⟩Infinite cancellative non-commutative monoid
8582⟨a, b | baaa=aabb⟩Infinite cancellative non-commutative monoid
91045⟨a, b | aaabab=baa⟩Infinite cancellative non-commutative monoid
102163⟨a, b | aaabaab=baa⟩Infinite cancellative non-commutative monoid
114487⟨a, b | aaabaaab=baa⟩Infinite cancellative non-commutative monoid
115875⟨a, b | ababab=babaa⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationDescriptionRelated
102487⟨a, b | aabaab=baaa⟩Infinite cancellative non-commutative monoid
115125⟨a, b | aabaaab=baaa⟩Infinite cancellative non-commutative monoid
115185⟨a, b | aababab=baba⟩Infinite cancellative non-commutative monoid