#3462 ⟨a, b | aaabababaa=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. a2(ab)3b ⇒ (ba)4a [2]
2. a2(ab)4 ⇒ ba(ab)3a2 [3]
3. a3(ba)3a ⇒ b [1]
# ab:aaabababaa=b ba - -
aaabababb=babababaa
aaabababab=baabababaa
aaabababaa=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
91040⟨a, b | aaabaa=bbb⟩Can Inf
115554⟨a, b | aaabaa=babab⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
9784⟨a, b | aaabbbaa=b⟩Can Inf