#5702 ⟨a, b | aababa=bbaab⟩

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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. b2a2b ⇒ a2(ba)2 [1]
2. b2a4(ba)2 ⇒ a(ab)3a2b [2]
# ab:aababa=bbaab reversed:a/b
bbaab=aababa
bbaaaababa=aabababaab

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114632⟨a, b | aabaabba=bab⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114676⟨a, b | aababbba=bab⟩Infinite cancellative non-commutative monoid