#3387 ⟨a, b | aaaabababa=b⟩

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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. a3(ab)3b ⇒ ba3(ba)3 [2]
2. a4(ba)3 ⇒ b [1]
# ab:aaaabababa=b ba - -
aaaabababb=baaabababa
aaaabababa=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
91024⟨a, b | aaaaba=bbb⟩Can Inf
115490⟨a, b | aaaaba=babab⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
9760⟨a, b | aaaabbba=b⟩Can Inf