#16044 ⟨a, b | aaa=ab, bbbb=bb⟩

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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. a9 ⇒ a5
  2. ab ⇒ a3
  3. b4 ⇒ b2 
# ab:aaa=ab,bbbb=bb a/b
aaaaaaaaa=aaaaa
ab=aaa
bbbb=bb

Right Cayley graph

Left Cayley graph

Others with same cardinality

4 unique, 41 total

Σ#PresentationDescriptionRelated
91345⟨a, b | aaab=a, bbbb=1⟩Finite non-commutative monoid with 36 elements5 iso, 8 anti-iso
92300⟨a, b | aaa=1, ababbb=1⟩Finite non-Abelian group with 36 elements23 iso
105073⟨a, b | aaa=ab, bbbb=b⟩Finite non-commutative monoid with 36 elements1 iso
1118959⟨a, b | aab=a, bbbbbb=b⟩Finite non-commutative monoid with 36 elements