#1788 ⟨a, b | abababbba=b⟩

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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. (ab)3b3 ⇒ b(ba)2b3a [2]
2. (ab)3b2a ⇒ b [1]
# ab:abababbba=b ba
abababbbb=bbababbba
abababbba=b

Other submonoids of same group

2 unique, 2 total

Σ#PresentationDescriptionRelated
8439⟨a, b | aaabba=bb⟩Infinite cancellative non-commutative monoid
102172⟨a, b | aaababa=bab⟩Infinite cancellative non-commutative monoid