#5581 ⟨a, b | aaabab=baaaa⟩

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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. a3bab ⇒ ba4 [1]
# ab:aaabab=baaaa ab
aaabab=baaaa

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
102413⟨a, b | aaaabb=baaa⟩Infinite cancellative non-commutative monoid
102734⟨a, b | baaaa=aaabb⟩Infinite cancellative non-commutative monoid
114971⟨a, b | aaaabab=baaa⟩Infinite cancellative non-commutative monoid