#5618 ⟨a, b | aaabba=babab⟩

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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. b(ab)2 ⇒ a3b2a [1]
2. a3b2a2b ⇒ ba4b2a [2]
# ab:aaabba=babab a/b
babab=aaabba
aaabbaab=baaaabba

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102204⟨a, b | aaabbba=bab⟩Infinite cancellative non-commutative monoid