#1918 ⟨a, b | aaabbaba=bb⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. Other submonoids of anti-isomorphic 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. a3b(ba)2 ⇒ b2 [1]
2. b2a2b(ba)2 ⇒ a3b2ab3 [2]
# ab:aaabbaba=bb ab
aaabbaba=bb
bbaabbaba=aaabbabbb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113674⟨a, b | aabbbababa=b⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115048⟨a, b | aaababa=babb⟩Infinite cancellative non-commutative monoid