#1746 ⟨a, b | aabbbbbba=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. a2b7 ⇒ bab6a [2]
2. a2b6a ⇒ b [1]
# ab:aabbbbbba=b ba
aabbbbbbb=babbbbbba
aabbbbbba=b

Other submonoids of same group

3 unique, 10 total

Σ#PresentationDescriptionRelated
102371⟨a, b | aaaaaa=babb⟩Infinite cancellative non-commutative monoid
112799⟨a, b | aaaaaababba=1⟩Infinite non-Abelian group3 iso, 4 anti-iso
115908⟨a, b | ababba=bbbbb⟩Infinite cancellative non-commutative monoid