#3548 ⟨a, b | aabaaababa=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. (a2ba)2b2 ⇒ baba3(ba)2 [2]
2. (a2ba)2ba ⇒ b [1]
# ab:aabaaababa=b ba - -
aabaaababb=babaaababa
aabaaababa=b

Other submonoids of same group

3 unique, 3 total

Σ#PresentationProperties
9800⟨a, b | aabaabba=b⟩Can Inf
91236⟨a, b | aabba=bbab⟩Can Inf
115378⟨a, b | ababbba=bbab⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
101770⟨a, b | abaababba=b⟩Can Inf
102250⟨a, b | aababba=bab⟩Can Inf