#3724 ⟨a, b | abaaabbaba=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 ⇒ ba2b(ba)2 [2]
2. aba2(ab2)2 ⇒ b2a3b(ba)2 [3]
3. aba3b(ba)2 ⇒ b [1]
# ab:abaaabbaba=b ba - -
abaaabbb=baabbaba
abaaabbabb=bbaaabbaba
abaaabbaba=b

Other submonoids of same group

1 unique, 1 total

Σ#PresentationProperties
115334⟨a, b | abaabba=babb⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
113636⟨a, b | aabbaababa=b⟩Can Inf