#830 ⟨a, b | aabbbbba=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. a2b6 ⇒ bab5a [2]
2. a2b5a ⇒ b [1]
# ab:aabbbbba=b ba
aabbbbbb=babbbbba
aabbbbba=b

Other submonoids of same group

4 unique, 10 total

Σ#PresentationDescriptionRelated
91147⟨a, b | aaaaa=babb⟩Infinite cancellative non-commutative monoid
101297⟨a, b | aaaaababba=1⟩Infinite non-Abelian group3 iso, 3 anti-iso
102614⟨a, b | ababba=bbbb⟩Infinite cancellative non-commutative monoid
114878⟨a, b | abbabbba=bbb⟩Infinite cancellative non-commutative monoid