#1029 ⟨a, b | aaaabb=baa⟩

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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. a4b2 ⇒ ba2 [1]
# ab:aaaabb=baa ab
aaaabb=baa

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
102133⟨a, b | aaaabab=baa⟩Infinite cancellative non-commutative monoid
102735⟨a, b | baaaa=aabab⟩Infinite cancellative non-commutative monoid
114435⟨a, b | aaaabaab=baa⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
91161⟨a, b | aaaab=bbaa⟩Infinite cancellative non-commutative monoid
115661⟨a, b | aabaab=baaaa⟩Infinite cancellative non-commutative monoid