#3870 ⟨a, b | aaaaabaab=ba⟩

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. a5ba2b ⇒ ba [1]
# ab:aaaaabaab=ba ab - -
aaaaabaab=ba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
9880⟨a, b | aaaaabb=ba⟩Can Inf
101840⟨a, b | aaaaabab=ba⟩Can Inf

Other submonoids of anti-isomorphic group

3 unique, 3 total

Σ#PresentationProperties
91015⟨a, b | aaaaab=bba⟩Can Inf
102383⟨a, b | aaaaab=baba⟩Can Inf
115455⟨a, b | aaaaab=baaba⟩Can Inf