#2597 ⟨a, b | ababab=baba⟩

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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 ⇒ bc2 [6]
2. ab ⇒ c [2]
3. bca ⇒ c3 [4]
4. c2a ⇒ ac3 [5]
# ab:ababab=baba bc/a ab=c morph:2/0
cccb=bcc
ab=c
bca=ccc
cca=accc

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
7243⟨a, b | aaab=baa⟩Infinite cancellative non-commutative monoid