#838 ⟨a, b | abaaabba=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. aba3b3 ⇒ b2a3b2a [2]
2. aba3b2a ⇒ b [1]
# ab:abaaabba=b ba - -
abaaabbb=bbaaabba
abaaabba=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
101782⟨a, b | ababaabba=b⟩Can Inf
102318⟨a, b | abaabba=bab⟩Can Inf

Other submonoids of anti-isomorphic group

4 unique, 4 total

Σ#PresentationProperties
91100⟨a, b | aabbba=bab⟩Can Inf
102758⟨a, b | baabb=ababa⟩Can Inf
113708⟨a, b | abaaaababa=b⟩Can Inf
114850⟨a, b | ababbbba=bab⟩Can Inf