#2334 ⟨a, b | abababa=bbb⟩

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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. b4a ⇒ ab4 [2]
2. a(ba)3 ⇒ b3 [1]
# ab:abababa=bbb ab
bbbba=abbbb
abababa=bbb

Other submonoids of same group

2 unique, 3 total

Σ#PresentationDescriptionRelated
8298⟨a, b | aaabbbba=1⟩Infinite non-Abelian group1 iso
8594⟨a, b | bbbb=aaaa⟩Infinite cancellative non-commutative monoid