#1178 ⟨a, b | aaaba=bbab⟩

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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. a3ba ⇒ b2ab [1]
2. b2(aba)2 ⇒ a3b3ab [2]
# ab:aaaba=bbab ab - -
aaaba=bbab
bbabaaba=aaabbbab

Other submonoids of same group

3 unique, 3 total

Σ#PresentationProperties
9773⟨a, b | aaababba=b⟩Can Inf
113446⟨a, b | aaabaababa=b⟩Can Inf
115906⟨a, b | ababba=bbbab⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
101698⟨a, b | aabababba=b⟩Can Inf