#166 ⟨a, b | aaaaba=b

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. a4b2 ⇒ ba3ba [2]
2. a4ba ⇒ b [1]
# ab:aaaaba=b ba
aaaabb=baaaba
aaaaba=b

Other submonoids of same group

1 unique, 3 total

Σ#PresentationDescriptionRelated
101513a, b | ababababba=1⟩Infinite non-Abelian group2 iso