#5908 ⟨a, b | ababba=bbbbb⟩

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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 ⇒ b5 [1]
2. b6ab2a ⇒ abab7 [2]
# ab:ababba=bbbbb ab
ababba=bbbbb
bbbbbbabba=ababbbbbbb

Other submonoids of same group

2 unique, 9 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

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101746⟨a, b | aabbbbbba=b⟩Infinite cancellative non-commutative monoid