#2243 ⟨a, b | aababab=bba⟩

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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. a(ab)3 ⇒ b2a [1]
# ab:aababab=bba ab
aababab=bba

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
9911⟨a, b | aaababb=ba⟩Infinite cancellative non-commutative monoid
91221⟨a, b | aabab=bbba⟩Infinite cancellative non-commutative monoid
113973⟨a, b | aaabaabab=ba⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115315⟨a, b | abaabab=baaa⟩Infinite cancellative non-commutative monoid