#18737 ⟨a, b | aaa=a, abbbba=b⟩

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Properties

Element profile

Complete 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
  1. b16 ⇒ b
  2. ba ⇒ ab4
  3. a2b ⇒ b
  4. a3 ⇒ a 
# ab:aaa=a,abbbba=b b/a
bbbbbbbbbbbbbbbb=b
ba=abbbb
aab=b
aaa=a

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 2 total

Σ#PresentationDescriptionRelated
1115526⟨a, b | aaa=bb, ababb=b⟩Finite non-commutative monoid with 33 elements1 iso