#474 ⟨a, b | ababab=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. c3b ⇒ bc [5]
2. ac2b ⇒ c [4]
3. ba ⇒ c [2]
4. ca ⇒ ac3 [6]
# ab:ababab=ba bc/a ba=c magic:0
cccb=bc
accb=c
ba=c
ca=accc

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
699⟨a, b | aaab=ba⟩Infinite cancellative non-commutative monoid
102036⟨a, b | abaabaab=ba⟩Infinite cancellative non-commutative monoid