#2434 ⟨a, b | aaabaa=bbab⟩

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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. b2ab ⇒ a3ba2 [1]
2. a(a2b)2ab ⇒ b2a4ba2 [2]
# ab:aaabaa=bbab a/b
bbab=aaabaa
aaabaabab=bbaaaabaa

Other submonoids of anti-isomorphic group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101632⟨a, b | aaababbaa=b⟩Infinite cancellative non-commutative monoid