#3375 ⟨a, b | aaaabaabaa=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. a4ba2b2 ⇒ (ba2)3 [2]
2. a3(aba)2b ⇒ ba3(ba2)2 [3]
3. a4(ba2)2 ⇒ b [1]
# ab:aaaabaabaa=b ba - -
aaaabaabb=baabaabaa
aaaabaabab=baaabaabaa
aaaabaabaa=b

Other submonoids of same group

3 unique, 3 total

Σ#PresentationProperties
9885⟨a, b | aaaabaa=bb⟩Can Inf
102126⟨a, b | aaaabaa=bab⟩Can Inf
114956⟨a, b | aaaabaa=baab⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
9756⟨a, b | aaaabbaa=b⟩Can Inf
101588⟨a, b | aaaababaa=b⟩Can Inf