#2750 ⟨a, b | baaba=abaab⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same 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. ac2 ⇒ c2a [6]
2. acb ⇒ cba [4]
3. bc2 ⇒ c2b [5]
4. ba2 ⇒ c [2]
# ab:baaba=abaab cab baa=c morph:3/1
acc=cca
acb=cba
bcc=ccb
baa=c

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
6120⟨a, b | baa=aab⟩Infinite cancellative non-commutative monoid
8589⟨a, b | baba=abab⟩Infinite cancellative non-commutative monoid