#2776 ⟨a, b | bbbbb=aaaaa⟩

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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. b5 ⇒ a5 [1]
2. ba5 ⇒ a5b [2]
# ab:bbbbb=aaaaa ab
bbbbb=aaaaa
baaaaa=aaaaab

Other submonoids of same group

1 unique, 2 total

Σ#PresentationDescriptionRelated
101336⟨a, b | aaaabbbbba=1⟩Infinite non-Abelian group1 iso