#2055 ⟨a, b | abababab=ba⟩

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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. c4b ⇒ bc [5]
2. ac3b ⇒ c [4]
3. ba ⇒ c [2]
4. ca ⇒ ac4 [6]
# ab:abababab=ba bc/a ba=c magic:0
ccccb=bc
acccb=c
ba=c
ca=acccc

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
7202⟨a, b | aaaab=ba⟩Infinite cancellative non-commutative monoid