#14128 ⟨a, b | aaba=b, bbbbbb=1⟩

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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. a63 ⇒ 1
  2. ab ⇒ ba31
  3. b6 ⇒ 1 
# ab:aaba=b,bbbbbb=1 a/b
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=1
ab=baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
bbbbbb=1

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 1 total

Σ#PresentationDescriptionRelated
1121778⟨a, b | aaa=1, babbbbb=a⟩Finite non-Abelian group with 378 elements