#5906 ⟨a, b | ababba=bbbab⟩

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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. abab2a ⇒ b3ab [1]
2. b(b2a)3 ⇒ abab5ab [2]
# ab:ababba=bbbab ab
ababba=bbbab
bbbabbabba=ababbbbbab

Other submonoids of same group

2 unique, 2 total

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

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
91178⟨a, b | aaaba=bbab⟩Infinite cancellative non-commutative monoid
101698⟨a, b | aabababba=b⟩Infinite cancellative non-commutative monoid