#3901 ⟨a, b | aaaabaaab=ba⟩

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Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. Other submonoids of anti-isomorphic 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. a(a3b)2 ⇒ ba [1]
# ab:aaaabaaab=ba ab - -
aaaabaaab=ba

Other submonoids of same group

5 unique, 5 total

Σ#PresentationProperties
8426⟨a, b | aaaabb=ba⟩Can Inf
9888⟨a, b | aaaabab=ba⟩Can Inf
101856⟨a, b | aaaabaab=ba⟩Can Inf
102737⟨a, b | baaaa=abaab⟩Can Inf
114822⟨a, b | abababab=baa⟩Can Inf

Other submonoids of anti-isomorphic group

4 unique, 4 total

Σ#PresentationProperties
8497⟨a, b | aaaab=bba⟩Can Inf
91159⟨a, b | aaaab=baba⟩Can Inf
114125⟨a, b | aabababab=ba⟩Can Inf
115825⟨a, b | abaaab=baaaa⟩Can Inf