#2268 ⟨a, b | aabbaba=bbb⟩

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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. a2b(ba)2 ⇒ b3 [1]
2. b(b2a)2ba ⇒ a2b2ab4 [2]
# ab:aabbaba=bbb ab
aabbaba=bbb
bbbabbaba=aabbabbbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101740⟨a, b | aabbbbaba=b⟩Infinite cancellative non-commutative monoid