#5552 ⟨a, b | aaabaa=baabb⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of anti-isomorphic group

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. ba2b2 ⇒ a3ba2 [1]
2. a3ba4b2 ⇒ ba(aba2)2 [2]
# ab:aaabaa=baabb a/b
baabb=aaabaa
aaabaaaabb=baabaaabaa

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
113489⟨a, b | aaabbaabaa=b⟩Infinite cancellative non-commutative monoid