#20647 ⟨a, b | ab=aa, bbbbbb=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. ab ⇒ a2
  2. b6 ⇒ b
  3. a7 ⇒ a2 
# ab:ab=aa,bbbbbb=b ab
ab=aa
bbbbbb=b
aaaaaaa=aa

Right Cayley graph

Left Cayley graph

Others with same cardinality

2 unique, 12 total

Σ#PresentationDescriptionRelated
106101⟨a, b | aab=a, bbbbbb=1⟩Finite non-commutative monoid with 42 elements3 iso
1114981⟨a, b | aaa=bb, aabaab=1⟩Finite non-Abelian group with 42 elements7 iso