#877 ⟨a, b | aaaaaba=bb⟩

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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. a5ba ⇒ b2 [1]
2. b2a4ba ⇒ a5b3 [2]
# ab:aaaaaba=bb ab
aaaaaba=bb
bbaaaaba=aaaaabbb

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
102110⟨a, b | aaaaaba=bab⟩Infinite cancellative non-commutative monoid
114924⟨a, b | aaaaaba=baab⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationDescriptionRelated
9744⟨a, b | aaaaabba=b⟩Infinite cancellative non-commutative monoid
101568⟨a, b | aaaaababa=b⟩Infinite cancellative non-commutative monoid
113342⟨a, b | aaaaabaaba=b⟩Infinite cancellative non-commutative monoid