#3596 ⟨a, b | aabababbaa=b⟩

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Contents

  1. Properties
  2. Rewriting system
  3. 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. b(ba)2b2a2 ⇒ a(ab)3b2 [2]
2. a(ab)3ba2 ⇒ b [1]
3. (ba)3b2a2 ⇒ a(ab)3bab [3]
# ab:aabababbaa=b ab - -
bbababbaa=aabababbb
aabababbaa=b
babababbaa=aabababbab

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationProperties
102770⟨a, b | babbb=aabaa⟩Can Inf
113473⟨a, b | aaababbaba=b⟩Can Inf