#594 ⟨a, b | bbbb=aaaa⟩

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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. b4 ⇒ a4 [1]
2. ba4 ⇒ a4b [2]
# ab:bbbb=aaaa ab
bbbb=aaaa
baaaa=aaaab

Other submonoids of same group

2 unique, 3 total

Σ#PresentationDescriptionRelated
8298⟨a, b | aaabbbba=1⟩Infinite non-Abelian group1 iso
102334⟨a, b | abababa=bbb⟩Infinite cancellative non-commutative monoid