#1704 ⟨a, b | aababbbaa=b⟩

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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. b2ab3a2 ⇒ a2bab4 [2]
2. a2bab3a2 ⇒ b [1]
3. (ba)2b3a2 ⇒ a2bab3ab [3]
# ab:aababbbaa=b ab
bbabbbaa=aababbbb
aababbbaa=b
bababbbaa=aababbbab

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
114138⟨a, b | aababbaba=bb⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115704⟨a, b | aababa=bbabb⟩Infinite cancellative non-commutative monoid