#3973 ⟨a, b | aaabaabab=ba⟩

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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. a(a2b)2ab ⇒ ba [1]
# ab:aaabaabab=ba ab - -
aaabaabab=ba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
9911⟨a, b | aaababb=ba⟩Can Inf
91221⟨a, b | aabab=bbba⟩Can Inf

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
102243⟨a, b | aababab=bba⟩Can Inf
115315⟨a, b | abaabab=baaa⟩Can Inf