#1040 ⟨a, b | aaabaa=bbb⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group
  4. 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. a(a2b)2 ⇒ ba3ba2 [2]
2. b3 ⇒ a3ba2 [1]
# ab:aaabaa=bbb a/b
aaabaab=baaabaa
bbb=aaabaa

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
115554⟨a, b | aaabaa=babab⟩Infinite cancellative non-commutative monoid

Other submonoids of anti-isomorphic group

2 unique, 2 total

Σ#PresentationDescriptionRelated
9784⟨a, b | aaabbbaa=b⟩Infinite cancellative non-commutative monoid
113462⟨a, b | aaabababaa=b⟩Infinite cancellative non-commutative monoid