#2309 ⟨a, b | abaabab=baa⟩

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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. c2bab ⇒ bac [5]
2. acbab ⇒ c [4]
3. ba2 ⇒ c [2]
4. ca2 ⇒ acbac [6]
# ab:abaabab=baa bc/a baa=c magic:0
ccbab=bac
acbab=c
baa=c
caa=acbac

Other submonoids of same group

4 unique, 4 total

Σ#PresentationDescriptionRelated
8453⟨a, b | aababb=ba⟩Infinite cancellative non-commutative monoid
8527⟨a, b | aabab=bba⟩Infinite cancellative non-commutative monoid
101952⟨a, b | aabaabab=ba⟩Infinite cancellative non-commutative monoid
102489⟨a, b | aabaab=baba⟩Infinite cancellative non-commutative monoid