#2774 ⟨a, b | bbabb=aaaaa⟩

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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. b2ab2 ⇒ a5 [1]
2. b2a6 ⇒ a6b2 [2]
3. b2aba5 ⇒ a5bab2 [3]
# ab:bbabb=aaaaa ab
bbabb=aaaaa
bbaaaaaa=aaaaaabb
bbabaaaaa=aaaaababb

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
101742⟨a, b | aabbbbbaa=b⟩Infinite cancellative non-commutative monoid