#958 ⟨a, b | aabbbaa=bb⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same 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. a2b3a2 ⇒ b2 [1]
2. b5a2 ⇒ a2b5 [2]
3. b2ab3a2 ⇒ a2b3ab2 [3]
# ab:aabbbaa=bb ab
aabbbaa=bb
bbbbbaa=aabbbbb
bbabbbaa=aabbbabb

Other submonoids of same group

3 unique, 3 total

Σ#PresentationDescriptionRelated
91086⟨a, b | aabbaa=bbb⟩Infinite cancellative non-commutative monoid
113794⟨a, b | ababbbbaba=b⟩Infinite cancellative non-commutative monoid
114320⟨a, b | ababbbaba=bb⟩Infinite cancellative non-commutative monoid