#2174 ⟨a, b | aaababa=bbb⟩

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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. b3 ⇒ a3(ba)2 [1]
2. a2(ab)3 ⇒ ba3(ba)2 [2]
# ab:aaababa=bbb a/b
bbb=aaababa
aaababab=baaababa

Other submonoids of same group

1 unique, 7 total

Σ#PresentationDescriptionRelated
112940⟨a, b | aaabababbba=1⟩Infinite non-Abelian group3 iso, 3 anti-iso

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113993⟨a, b | aaabababa=bb⟩Infinite cancellative non-commutative monoid