#811 ⟨a, b | aababbba=b⟩

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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. a2bab4 ⇒ (ba)2b3a [2]
2. a2bab3a ⇒ b [1]
# ab:aababbba=b ba
aababbbb=bababbba
aababbba=b

Other submonoids of same group

3 unique, 9 total

Σ#PresentationDescriptionRelated
9947⟨a, b | aababba=bb⟩Infinite cancellative non-commutative monoid
112918⟨a, b | aaabaababba=1⟩Infinite non-Abelian group3 iso, 3 anti-iso
113786⟨a, b | ababbabbba=b⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102508⟨a, b | aababa=bbab⟩Infinite cancellative non-commutative monoid