#1102 ⟨a, b | aabbba=bbb⟩

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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. a2b3a ⇒ b3 [1]
2. a2b6 ⇒ (b3a)2 [2]
# ab:aabbba=bbb ba
aabbba=bbb
aabbbbbb=bbbabbba

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
102070⟨a, b | ababbbba=bb⟩Infinite cancellative non-commutative monoid
113822⟨a, b | abbabbbbba=b⟩Infinite cancellative non-commutative monoid