#5554 ⟨a, b | aaabaa=babab⟩

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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. a3ba2 ⇒ b(ab)2 [1]
2. a3b2(ab)2 ⇒ (ba)4a [2]
3. a2(ab)4 ⇒ (ba)3aba2 [3]
# ab:aaabaa=babab ba - -
aaabaa=babab
aaabbabab=babababaa
aaabababab=bababaabaa

Other submonoids of same group

1 unique, 1 total

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

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
9784⟨a, b | aaabbbaa=b⟩Can Inf
113462⟨a, b | aaabababaa=b⟩Can Inf