#1189 ⟨a, b | aaabb=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. a3b2 ⇒ ba3 [1]
# ab:aaabb=baaa ab
aaabb=baaa

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
102445⟨a, b | aaabab=baaa⟩Infinite cancellative non-commutative monoid
115029⟨a, b | aaabaab=baaa⟩Infinite cancellative non-commutative monoid