#1983 ⟨a, b | aabbaaab=ba⟩

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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. ac ⇒ da [7]
2. adc2 ⇒ c2ad [9]
3. bc ⇒ cdcad [8]
4. bd ⇒ cb [6]
5. adcad ⇒ c [5]
6. ba ⇒ c [2]
7. ab ⇒ d [3]
# ab:aabbaaab=ba reversed:cd/ab ba=c,ab=d morph:2/2,2/1
ac=da
adcc=ccad
bc=cdcad
bd=cb
adcad=c
ba=c
ab=d

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102347⟨a, b | abbaaab=baa⟩Infinite cancellative non-commutative monoid