#1236 ⟨a, b | aabba=bbab⟩

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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. a2b2a ⇒ b2ab [1]
2. a2b4ab ⇒ b(ba)2b2a [2]
# ab:aabba=bbab ba
aabba=bbab
aabbbbab=bbababba

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
9800⟨a, b | aabaabba=b⟩Infinite cancellative non-commutative monoid
113548⟨a, b | aabaaababa=b⟩Infinite cancellative non-commutative monoid
115378⟨a, b | ababbba=bbab⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
101770⟨a, b | abaababba=b⟩Infinite cancellative non-commutative monoid
102250⟨a, b | aababba=bab⟩Infinite cancellative non-commutative monoid