#589 ⟨a, b | baba=abab⟩

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Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

Properties

Rewriting system

Format:
Word:
Enter a word above to compute its normal form. Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Strategy:
Result: 1 
1
#RuleProof
1. ca ⇒ ac [5]
2. cb ⇒ bc [4]
3. (ab)2 ⇒ c [2]
4. (ba)2 ⇒ c [3]
# ab:baba=abab abc abab=c magic:0
ca=ac
cb=bc
abab=c
baba=c

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
6120⟨a, b | baa=aab⟩Can Inf
102750⟨a, b | baaba=abaab⟩Can Inf