#1724 ⟨a, b | aabbabbaa=b⟩

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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. b3ab2a2 ⇒ a2b2ab3 [2]
2. a(ab2)2a2 ⇒ b [1]
3. b(ab2)2a2 ⇒ a2(b2a)2b [3]
# ab:aabbabbaa=b ab
bbbabbaa=aabbabbb
aabbabbaa=b
babbabbaa=aabbabbab

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115859⟨a, b | abaaba=bbabb⟩Infinite cancellative non-commutative monoid