#5941 ⟨a, b | abbbba=babab⟩

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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. cab ⇒ bac [4]
2. cbab ⇒ ab3c [6]
3. cb3a ⇒ babc [5]
4. cb4a ⇒ ab4c [7]
5. ab4a ⇒ c [2]
6. b(ab)2 ⇒ c [3]
# ab:abbbba=babab bc/a babab=c magic:0
cab=bac
cbab=abbbc
cbbba=babc
cbbbba=abbbbc
abbbba=c
babab=c

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
91272⟨a, b | abbba=baab⟩Infinite cancellative non-commutative monoid
115404⟨a, b | abbabba=baab⟩Infinite cancellative non-commutative monoid