#908 ⟨a, b | aaababa=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. a3(ba)2 ⇒ b2 [1]
2. b2a2(ba)2 ⇒ a3bab3 [2]
# ab:aaababa=bb ab
aaababa=bb
bbaababa=aaababbb

Other submonoids of same group

2 unique, 4 total

Σ#PresentationDescriptionRelated
101425⟨a, b | aabababbba=1⟩Infinite non-Abelian group2 iso
114496⟨a, b | aaabaaba=bab⟩Infinite cancellative non-commutative monoid