#2371 ⟨a, b | aaaaaa=babb⟩

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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. a7b2 ⇒ baba6 [2]
2. bab2 ⇒ a6 [1]
# ab:aaaaaa=babb a/b
aaaaaaabb=babaaaaaa
babb=aaaaaa

Other submonoids of same group

2 unique, 9 total

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

Other submonoids of anti-isomorphic group

1 unique, 1 total

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