#932 ⟨a, b | aabaaba=bb⟩

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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. b(ba)2 ⇒ a2b3 [2]
2. (a2b)2a ⇒ b2 [1]
# ab:aabaaba=bb ab - -
bbaba=aabbb
aabaaba=bb

Other submonoids of same group

2 unique, 8 total

Σ#PresentationPropertiesφ
101431⟨a, b | aababbabba=1⟩Grp Inf6
114602⟨a, b | aabaaaba=bab⟩Can Inf