#2588 ⟨a, b | abaaba=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. (aba)2 ⇒ b4 [1]
2. b4aba ⇒ abab4 [2]
3. b5a2ba ⇒ aba2b5 [3]
# ab:abaaba=bbbb ab
abaaba=bbbb
bbbbaba=ababbbb
bbbbbaaba=abaabbbbb

Other submonoids of same group

1 unique, 4 total

Σ#PresentationDescriptionRelated
101328⟨a, b | aaaabbabba=1⟩Infinite non-Abelian group3 iso