#2614 ⟨a, b | ababba=bbbb⟩

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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 ⇒ b4 [1]
2. b5ab2a ⇒ abab6 [2]
# ab:ababba=bbbb ab
ababba=bbbb
bbbbbabba=ababbbbbb

Other submonoids of same group

3 unique, 9 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
114878⟨a, b | abbabbba=bbb⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
9830⟨a, b | aabbbbba=b⟩Infinite cancellative non-commutative monoid