#5873 ⟨a, b | ababab=baaaa⟩

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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. ba4 ⇒ (ab)3 [1]
# ab:ababab=baaaa b/a
baaaa=ababab

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
9896⟨a, b | aaaabbb=ba⟩Infinite cancellative non-commutative monoid
113917⟨a, b | aaaababab=ba⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
91163⟨a, b | aaaab=bbba⟩Infinite cancellative non-commutative monoid