#5236 ⟨a, b | aabbaba=bbab⟩

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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. a2b(ba)2 ⇒ b2ab [1]
2. a2(b2ab)2 ⇒ (b(ba)2)2 [2]
# ab:aabbaba=bbab ba - -
aabbaba=bbab
aabbabbbab=bbababbaba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationProperties
113572⟨a, b | aabaabbaba=b⟩Can Inf
113646⟨a, b | aabbabaaba=b⟩Can Inf

Other submonoids of anti-isomorphic group

1 unique, 1 total

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