#1988 ⟨a, b | aabbaaba=bb⟩

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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. a2b2a2ba ⇒ b2 [1]
2. (b2a)2aba ⇒ (a2b2)2b [2]
# ab:aabbaaba=bb ab
aabbaaba=bb
bbabbaaba=aabbaabbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113752⟨a, b | abaabbbaba=b⟩Infinite cancellative non-commutative monoid