#1644 ⟨a, b | aaabbabaa=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. a2(ab2)2 ⇒ (bab)2a2 [2]
2. a3b2(ab)2 ⇒ ba2b2aba2 [3]
3. a3b2aba2 ⇒ b [1]
# ab:aaabbabaa=b ba
aaabbabb=babbabaa
aaabbabab=baabbabaa
aaabbabaa=b

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102432⟨a, b | aaabaa=babb⟩Infinite cancellative non-commutative monoid