#2018 ⟨a, b | aabbbbba=bb⟩

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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. a2b5a ⇒ b2 [1]
2. a2b7 ⇒ b2ab5a [2]
# ab:aabbbbba=bb ba
aabbbbba=bb
aabbbbbbb=bbabbbbba

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115380⟨a, b | ababbba=bbbb⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
102753⟨a, b | baabb=aaaaa⟩Infinite cancellative non-commutative monoid
113796⟨a, b | ababbbbbba=b⟩Infinite cancellative non-commutative monoid