#3342 ⟨a, b | aaaaabaaba=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. a5ba2b2 ⇒ ba3(aba)2 [2]
2. a4(aba)2 ⇒ b [1]
# ab:aaaaabaaba=b ba - -
aaaaabaabb=baaaabaaba
aaaaabaaba=b

Other submonoids of same group

3 unique, 3 total

Σ#PresentationProperties
9877⟨a, b | aaaaaba=bb⟩Can Inf
102110⟨a, b | aaaaaba=bab⟩Can Inf
114924⟨a, b | aaaaaba=baab⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
9744⟨a, b | aaaaabba=b⟩Can Inf
101568⟨a, b | aaaaababa=b⟩Can Inf