#1178 ⟨a, b | aaaba=bbab⟩

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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. b2ab ⇒ a3ba [1]
2. a2(ab)3 ⇒ b2a4ba [2]
# ab:aaaba=bbab a/b
bbab=aaaba
aaababab=bbaaaaba

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
9773⟨a, b | aaababba=b⟩Infinite cancellative non-commutative monoid
113446⟨a, b | aaabaababa=b⟩Infinite cancellative non-commutative monoid
115906⟨a, b | ababba=bbbab⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101698⟨a, b | aabababba=b⟩Infinite cancellative non-commutative monoid