#788 ⟨a, b | aaabbbba=b⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same 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. a3b5 ⇒ ba2b4a [2]
2. a3b4a ⇒ b [1]
# ab:aaabbbba=b ba
aaabbbbb=baabbbba
aaabbbba=b

Other submonoids of same group

3 unique, 9 total

Σ#PresentationDescriptionRelated
91180⟨a, b | aaaba=bbbb⟩Infinite cancellative non-commutative monoid
112861⟨a, b | aaaabababba=1⟩Infinite non-Abelian group2 iso, 4 anti-iso
114830⟨a, b | abababba=bbb⟩Infinite cancellative non-commutative monoid