#1148 ⟨a, b | aaaaa=bbbb⟩

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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. a5 ⇒ b4 [1]
2. b4a ⇒ ab4 [2]
# ab:aaaaa=bbbb ab
aaaaa=bbbb
bbbba=abbbb

Other submonoids of same group

2 unique, 5 total

Σ#PresentationDescriptionRelated
9625⟨a, b | aaaabbbba=1⟩Infinite non-Abelian group3 iso
115364⟨a, b | abababa=bbbb⟩Infinite cancellative non-commutative monoid