#450 ⟨a, b | aababa=bb⟩

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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. a2(ba)2 ⇒ b2 [1]
2. b(ba)3 ⇒ a2bab3 [2]
# ab:aababa=bb ab
aababa=bb
bbababa=aababbb

Other submonoids of same group

3 unique, 5 total

Σ#PresentationDescriptionRelated
8310⟨a, b | aababbba=1⟩Infinite non-Abelian group2 iso
101792⟨a, b | ababbabba=b⟩Infinite cancellative non-commutative monoid
102220⟨a, b | aabaaba=bab⟩Infinite cancellative non-commutative monoid