#2220 ⟨a, b | aabaaba=bab⟩

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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. a2b2ab ⇒ (ba)3 [2]
2. (a2b)2a ⇒ bab [1]
# ab:aabaaba=bab ba
aabbab=bababa
aabaaba=bab

Other submonoids of same group

3 unique, 5 total

Σ#PresentationDescriptionRelated
8310⟨a, b | aababbba=1⟩Infinite non-Abelian group2 iso
8450⟨a, b | aababa=bb⟩Infinite cancellative non-commutative monoid
101792⟨a, b | ababbabba=b⟩Infinite cancellative non-commutative monoid