#83 ⟨a, b | aabaa=b⟩

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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. b2a2 ⇒ a2b2 [2]
2. a2ba2 ⇒ b [1]
3. baba2 ⇒ a(ab)2 [3]
# ab:aabaa=b ab
bbaa=aabb
aabaa=b
babaa=aabab

Other submonoids of same group

1 unique, 2 total

Σ#PresentationDescriptionRelated
8333⟨a, b | ababbaba=1⟩Infinite non-Abelian group1 iso