#1792 ⟨a, b | ababbabba=b⟩

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Contents

  1. Properties
  2. Rewriting system
  3. Other submonoids of same 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. abab2ab3 ⇒ (b2a)3 [2]
2. aba(b2a)2 ⇒ b [1]
# ab:ababbabba=b ba - -
ababbabbb=bbabbabba
ababbabba=b

Other submonoids of same group

3 unique, 5 total

Σ#PresentationPropertiesφ
8310⟨a, b | aababbba=1⟩Grp Inf2
8450⟨a, b | aababa=bb⟩Can Inf
102220⟨a, b | aabaaba=bab⟩Can Inf