#3572 ⟨a, b | aabaabbaba=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. a2ba(ab2)2 ⇒ baba2b(ba)2 [2]
2. (a2b)2(ba)2 ⇒ b [1]
# ab:aabaabbaba=b ba - -
aabaabbabb=babaabbaba
aabaabbaba=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
113646⟨a, b | aabbabaaba=b⟩Can Inf
115236⟨a, b | aabbaba=bbab⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationProperties
115202⟨a, b | aababba=babb⟩Can Inf